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\ No newline at end of file diff --git a/xen-dev-utils/classes/Fraction.html b/xen-dev-utils/classes/Fraction.html index 0a332f1..02a4e1c 100644 --- a/xen-dev-utils/classes/Fraction.html +++ b/xen-dev-utils/classes/Fraction.html @@ -12,7 +12,7 @@

String form

new Fraction("123.456");  // a simple decimal
new Fraction("123/456");  // a string fraction
new Fraction("13e-3");  // scientific notation
-

Constructors

constructor +

Constructors

constructor

Properties

d n s @@ -55,156 +55,156 @@ toString validate valueOf -

Constructors

constructor

Properties

d

d: number

Denominator

-

n

n: number

Numerator

-

s

s: number

Sign: +1, 0 or -1

-

Methods

abs

  • abs(): Fraction

  • Calculates the absolute value.

    +

Constructors

constructor

Properties

d

d: number

Denominator

+

n

n: number

Numerator

+

s

s: number

Sign: +1, 0 or -1

+

Methods

abs

add

add

ceil

ceil

clone

clone

compare

compare

defloat

defloat

div

div

divisible

divisible

equals

equals

floor

floor

gabs

gabs

gcd

gcd

gcr

gcr

geoMod

geoMod

geoRoundTo

geoRoundTo

inverse

inverse

isUnity

isUnity

lcm

lcm

lcr

lcr

lensAdd

lensAdd

lensSub

lensSub

log

log

mmod

mmod

mod

mod

mul

mul

neg

neg

pow

pow

reduce

round

reduce

round

roundTo

roundTo

screenInfinity

simplify

screenInfinity

simplify

simplifyRelative

Returns Fraction

simplifyRelative

sub

Returns Fraction

sub

toContinued

toContinued

toFraction

toFraction

toString

toString

validate

valueOf

validate

valueOf

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constructordnsabsaddceilclonecomparedefloatdivdivisibleequalsfloorgabsgcdgcrgeoModgeoRoundToinverseisUnitylcmlcrlensAddlensSublogmmodmodmulnegpowreduceroundroundToscreenInfinitysimplifysimplifyRelativesubtoContinuedtoFractiontoStringvalidatevalueOf
\ No newline at end of file +

Returns number

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constructordnsabsaddceilclonecomparedefloatdivdivisibleequalsfloorgabsgcdgcrgeoModgeoRoundToinverseisUnitylcmlcrlensAddlensSublogmmodmodmulnegpowreduceroundroundToscreenInfinitysimplifysimplifyRelativesubtoContinuedtoFractiontoStringvalidatevalueOf
\ No newline at end of file diff --git a/xen-dev-utils/classes/FractionSet.html b/xen-dev-utils/classes/FractionSet.html index 2f6b6f7..cfded1f 100644 --- a/xen-dev-utils/classes/FractionSet.html +++ b/xen-dev-utils/classes/FractionSet.html @@ -1,5 +1,5 @@ FractionSet | xen-dev-utils

Class FractionSet

Collection of unique fractions.

-

Hierarchy

Constructors

constructor +

Hierarchy

Constructors

constructor

Properties

[toStringTag] size [species] @@ -17,14 +17,14 @@

Returns IterableIterator<Fraction>

add

clear

  • clear(): void

  • Returns void

delete

  • delete(value): boolean

  • Removes the element associated to the value.

    +

clear

  • clear(): void

  • Returns void

delete

  • delete(value): boolean

  • Removes the element associated to the value.

    Parameters

    Returns boolean

    A boolean asserting whether an element was successfully removed or not. FractionSet.prototype.has(value) will return false afterwards.

    -

entries

  • entries(): IterableIterator<[Fraction, Fraction]>

  • Returns an iterable of [v,v] pairs for every value v in the set.

    +

entries

  • entries(): IterableIterator<[Fraction, Fraction]>

  • Returns an iterable of [v,v] pairs for every value v in the set.

    Returns IterableIterator<[Fraction, Fraction]>

forEach

  • forEach(callbackfn, thisArg?): void

  • Executes a provided function once per each value in the Set object, in insertion order.

    Parameters

    • callbackfn: ((value, value2, set) => void)
    • Optional thisArg: any

    Returns void

has

  • has(value): boolean

  • Check value membership.

    Parameters

    • value: Fraction

      Value to check for membership.

    Returns boolean

    A boolean asserting whether an element is present with the given value in the FractionSet object or not.

    -

keys

  • keys(): IterableIterator<Fraction>

  • Despite its name, returns an iterable of the values in the set.

    +

keys

  • keys(): IterableIterator<Fraction>

  • Despite its name, returns an iterable of the values in the set.

    Returns IterableIterator<Fraction>

values

  • values(): IterableIterator<Fraction>

  • Returns an iterable of values in the set.

    Returns IterableIterator<Fraction>

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\ No newline at end of file diff --git a/xen-dev-utils/functions/accumulate.html b/xen-dev-utils/functions/accumulate.html index 82ff3b2..6715d0f 100644 --- a/xen-dev-utils/functions/accumulate.html +++ b/xen-dev-utils/functions/accumulate.html @@ -2,4 +2,4 @@

Parameters

Returns Monzo

The (modified) target monzo.

-

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\ No newline at end of file diff --git a/xen-dev-utils/functions/add.html b/xen-dev-utils/functions/add.html index a8c48fd..e0e8718 100644 --- a/xen-dev-utils/functions/add.html +++ b/xen-dev-utils/functions/add.html @@ -2,4 +2,4 @@

Parameters

Returns Monzo

A monzo that represents the product of the two numbers represented by a and b.

-

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\ No newline at end of file diff --git a/xen-dev-utils/functions/applyWeights.html b/xen-dev-utils/functions/applyWeights.html index c4a69a8..361dff3 100644 --- a/xen-dev-utils/functions/applyWeights.html +++ b/xen-dev-utils/functions/applyWeights.html @@ -2,4 +2,4 @@

Parameters

Returns number[]

The first monzo weighted by the second.

-

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\ No newline at end of file diff --git a/xen-dev-utils/functions/approximateOddLimit.html b/xen-dev-utils/functions/approximateOddLimit.html index 266f4a6..ec1b64c 100644 --- a/xen-dev-utils/functions/approximateOddLimit.html +++ b/xen-dev-utils/functions/approximateOddLimit.html @@ -3,4 +3,4 @@

Parameters

Returns Fraction[]

All odd limit fractions within 600 cents of the input value sorted by closeness.

-

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\ No newline at end of file diff --git a/xen-dev-utils/functions/approximateOddLimitWithErrors.html b/xen-dev-utils/functions/approximateOddLimitWithErrors.html index bbb0d4d..b315708 100644 --- a/xen-dev-utils/functions/approximateOddLimitWithErrors.html +++ b/xen-dev-utils/functions/approximateOddLimitWithErrors.html @@ -3,4 +3,4 @@

Parameters

Returns [Fraction, number][]

All odd limit fractions within 600 cents of the input value sorted by closeness with cent offsets attached.

-

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\ No newline at end of file diff --git a/xen-dev-utils/functions/approximatePrimeLimit.html b/xen-dev-utils/functions/approximatePrimeLimit.html index d44fe1a..4adf022 100644 --- a/xen-dev-utils/functions/approximatePrimeLimit.html +++ b/xen-dev-utils/functions/approximatePrimeLimit.html @@ -5,4 +5,4 @@
  • maxExponent: number
  • maxError: number = 600

    Maximum error from the interval for inclusion in the result.

  • maxLength: number = 100

    Maximum number of approximations to return.

    • Returns Fraction[]

    All valid fractions within maxError cents of the input value sorted by closenesss.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/approximatePrimeLimitWithErrors.html b/xen-dev-utils/functions/approximatePrimeLimitWithErrors.html index f8e58ac..dcb2400 100644 --- a/xen-dev-utils/functions/approximatePrimeLimitWithErrors.html +++ b/xen-dev-utils/functions/approximatePrimeLimitWithErrors.html @@ -5,4 +5,4 @@
  • maxExponent: number
  • maxError: number = 600

    Maximum error from the interval for inclusion in the result.

  • maxLength: number = 100

    Maximum number of approximations to return.

    • Returns [Fraction, number][]

    All valid fractions within maxError cents of the input value sorted by closeness with cent offsets attached.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/approximateRadical.html b/xen-dev-utils/functions/approximateRadical.html index e5f6cec..f8f0f66 100644 --- a/xen-dev-utils/functions/approximateRadical.html +++ b/xen-dev-utils/functions/approximateRadical.html @@ -3,4 +3,4 @@
  • maxIndex: number = 5

    Maximum index of the radical. 2 means square root, 3 means cube root, etc.

  • maxHeight: number = 50000

    Maximum Benedetti height of the radicand in the approximation.

    • Returns {
        index: number;
        radicand: Fraction;
    }

    Object with index of the radical and the radicand. Result is "index'th root or radicand".

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    Parameters

    Returns boolean

    True if the arrays are component-wise equal.

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/bigAbs.html b/xen-dev-utils/functions/bigAbs.html index 4dce09e..7fda75e 100644 --- a/xen-dev-utils/functions/bigAbs.html +++ b/xen-dev-utils/functions/bigAbs.html @@ -1,4 +1,4 @@ bigAbs | xen-dev-utils

    Function bigAbs

    • bigAbs(n): bigint

    • Calculate the absolute value of a BigInt.

      Parameters

      • n: bigint

        Integer to measure.

      Returns bigint

      Size of the integer as a BigInt.

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    Parameters

    Returns number

    The number of ways to choose k (unordered) elements from a set size n.

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/ceilPow2.html b/xen-dev-utils/functions/ceilPow2.html index 02cfaa4..de1ead6 100644 --- a/xen-dev-utils/functions/ceilPow2.html +++ b/xen-dev-utils/functions/ceilPow2.html @@ -1,4 +1,4 @@ ceilPow2 | xen-dev-utils

    Function ceilPow2

    • ceilPow2(x): number

    • Calculate the smallest power of two greater or equal to the input value.

      Parameters

      • x: number

        Value to compare to.

      Returns number

      Smallest 2**n such that x <= 2**n.

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/centOffsetToFrequency.html b/xen-dev-utils/functions/centOffsetToFrequency.html index e05ed1e..55c2648 100644 --- a/xen-dev-utils/functions/centOffsetToFrequency.html +++ b/xen-dev-utils/functions/centOffsetToFrequency.html @@ -4,4 +4,4 @@

    Parameters

    Returns number

    Musical frequency.

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/centsToNats.html b/xen-dev-utils/functions/centsToNats.html index af49167..071f38a 100644 --- a/xen-dev-utils/functions/centsToNats.html +++ b/xen-dev-utils/functions/centsToNats.html @@ -1,4 +1,4 @@ centsToNats | xen-dev-utils

    Function centsToNats

    • centsToNats(cents): number

    • Convert cents to natural units.

      Parameters

      • cents: number

        Musical interval in cents.

      Returns number

      Musical interval in natural units.

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    Parameters

    Returns number

    Musical interval in multiplicative representation.

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/circleDifference.html b/xen-dev-utils/functions/circleDifference.html index bd8385b..5ce64c7 100644 --- a/xen-dev-utils/functions/circleDifference.html +++ b/xen-dev-utils/functions/circleDifference.html @@ -3,4 +3,4 @@
  • b: number

    The second pitch measured in cents.

  • equaveCents: number = 1200.0

    The interval of equivalence measured in cents.

    • Returns number

    The first pitch minus the second pitch but on a circle such that large differences wrap around.

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  • b: number

    The second pitch measured in cents.

  • equaveCents: number = 1200.0

    The interval of equivalence measured in cents.

    • Returns number

    The absolute distance between the two pitches measured in cents but on a circle such that large distances wrap around.

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  • maxValue: number

    Upper bound.

  • value: number

    Value to clamp between bounds.

    • Returns number

    Clamped value.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/combinations.html b/xen-dev-utils/functions/combinations.html index e162f77..2717adf 100644 --- a/xen-dev-utils/functions/combinations.html +++ b/xen-dev-utils/functions/combinations.html @@ -4,4 +4,4 @@

    Type Parameters

    Parameters

    Returns T[][]

    Array of arrays representing all possible non-empty combinations of elements in a set.

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/continuedFraction.html b/xen-dev-utils/functions/continuedFraction.html index 7aa34a1..ae2a7e6 100644 --- a/xen-dev-utils/functions/continuedFraction.html +++ b/xen-dev-utils/functions/continuedFraction.html @@ -2,4 +2,4 @@ https://en.wikipedia.org/wiki/Continued_fraction

    Parameters

    Returns number[]

    An array of continued fraction elements.

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    Parameters

    Returns Monzo

    The (modified) target monzo.

    -

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    Parameters

    Returns number

    The quotient of Euclidean division of a by b.

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    Parameters

    Returns number

    The dot product.

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/dotPrecise.html b/xen-dev-utils/functions/dotPrecise.html index fb0a831..324ceee 100644 --- a/xen-dev-utils/functions/dotPrecise.html +++ b/xen-dev-utils/functions/dotPrecise.html @@ -3,4 +3,4 @@

    Parameters

    Returns number

    The dot product.

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/extendedEuclid-1.html b/xen-dev-utils/functions/extendedEuclid-1.html index 3cd7d6c..e742f02 100644 --- a/xen-dev-utils/functions/extendedEuclid-1.html +++ b/xen-dev-utils/functions/extendedEuclid-1.html @@ -5,4 +5,4 @@

    Parameters

    Returns ExtendedEuclid

    Bézout coefficients, gcd and quotients.

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    Function falsifyConstantStructure

    • falsifyConstantStructure(steps): [[number, number], [number, number]] | null

    • Determine if an equally tempered scale has constant structure i.e. you can tell the interval class from the size of an interval.

      Parameters

      • steps: number[]

        Musical intervals measured in steps not including the implicit 0 at the start, but including the interval of repetition at the end.

      Returns [[number, number], [number, number]] | null

      A pair of pairs of indices that have the same stepspan but different subtension. null if the scale has constant structure.

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/fareyInterior.html b/xen-dev-utils/functions/fareyInterior.html index 766aee1..98a9bfb 100644 --- a/xen-dev-utils/functions/fareyInterior.html +++ b/xen-dev-utils/functions/fareyInterior.html @@ -1,4 +1,4 @@ fareyInterior | xen-dev-utils

    Function fareyInterior

    • fareyInterior(maxDenominator): Generator<Fraction, undefined, undefined>

    • Create an iterator over the interior of n'th Farey sequence. (All fractions between 0 and 1 exclusive.)

      Parameters

      • maxDenominator: number

        Maximum denominator in the sequence.

      Returns Generator<Fraction, undefined, undefined>

      Yields

      Fractions in ascending order starting from 1/maxDenominator and ending at (maxDenominator-1)/maxDenominator.

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/fareySequence.html b/xen-dev-utils/functions/fareySequence.html index c6acd13..8769976 100644 --- a/xen-dev-utils/functions/fareySequence.html +++ b/xen-dev-utils/functions/fareySequence.html @@ -1,4 +1,4 @@ fareySequence | xen-dev-utils

    Function fareySequence

    • fareySequence(maxDenominator): Generator<Fraction, undefined, undefined>

    • Create an iterator over the n'th Farey sequence. (All fractions between 0 and 1 inclusive.)

      Parameters

      • maxDenominator: number

        Maximum denominator in the sequence.

      Returns Generator<Fraction, undefined, undefined>

      Yields

      Fractions in ascending order starting from 0/1 and ending at 1/1.

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/frequencyToCentOffset.html b/xen-dev-utils/functions/frequencyToCentOffset.html index 7c92292..9ee4b1b 100644 --- a/xen-dev-utils/functions/frequencyToCentOffset.html +++ b/xen-dev-utils/functions/frequencyToCentOffset.html @@ -4,4 +4,4 @@

    Parameters

    Returns number

    Musical pitch in additive representation as a cents offset from reference.

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/frequencyToMtsBytes.html b/xen-dev-utils/functions/frequencyToMtsBytes.html index 6663e57..76ba543 100644 --- a/xen-dev-utils/functions/frequencyToMtsBytes.html +++ b/xen-dev-utils/functions/frequencyToMtsBytes.html @@ -1,4 +1,4 @@ frequencyToMtsBytes | xen-dev-utils

    Function frequencyToMtsBytes

    • frequencyToMtsBytes(frequency): Uint8Array

    • Convert frequency to 3-byte MTS value

      Parameters

      • frequency: number

        Frequency in Hertz.

      Returns Uint8Array

      Uint8Array of length 3

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/ftom.html b/xen-dev-utils/functions/ftom.html index f5823b8..d816c4f 100644 --- a/xen-dev-utils/functions/ftom.html +++ b/xen-dev-utils/functions/ftom.html @@ -1,4 +1,4 @@ ftom | xen-dev-utils

    Function ftom

    • ftom(frequency): [number, number]

    • Convert frequency to MIDI note number and pitch offset measured in cents.

      Parameters

      • frequency: number

        Frequency in Hertz.

      Returns [number, number]

      [MIDI note number, pitch offset in cents]

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/ftomts.html b/xen-dev-utils/functions/ftomts.html index ab060a9..a43e8f2 100644 --- a/xen-dev-utils/functions/ftomts.html +++ b/xen-dev-utils/functions/ftomts.html @@ -1,4 +1,4 @@ ftomts | xen-dev-utils

    Function ftomts

    • ftomts(frequency, ignoreLimit?): number

    • Convert frequency to MTS number (semitones with A440=69).

      Parameters

      • frequency: number

        Frequency in Hertz.

      • ignoreLimit: boolean = false

      Returns number

      MTS value

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/gcd.html b/xen-dev-utils/functions/gcd.html index bfe6537..77170c3 100644 --- a/xen-dev-utils/functions/gcd.html +++ b/xen-dev-utils/functions/gcd.html @@ -4,4 +4,4 @@

    Parameters

    Returns number

    The largest integer that divides a and b.

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  • gcd(a, b): bigint

  • Parameters

    Returns bigint

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  • gcd(a, b): bigint

  • Parameters

    Returns bigint

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/getConvergents.html b/xen-dev-utils/functions/getConvergents.html index 4e1575c..24bf07a 100644 --- a/xen-dev-utils/functions/getConvergents.html +++ b/xen-dev-utils/functions/getConvergents.html @@ -7,4 +7,4 @@
  • includeSemiconvergents: boolean = false

    Include semiconvergents.

  • includeNonMonotonic: boolean = false

    Include non-monotonically improving approximations.

    • Returns Fraction[]

    An array of (semi)convergents.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/hasMarginConstantStructure.html b/xen-dev-utils/functions/hasMarginConstantStructure.html index 2a35048..4d8307c 100644 --- a/xen-dev-utils/functions/hasMarginConstantStructure.html +++ b/xen-dev-utils/functions/hasMarginConstantStructure.html @@ -2,4 +2,4 @@

    Parameters

    Returns boolean

    true if the scale definitely has constant structure. (A false result may convert to true using a smaller margin.)

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/isPrime.html b/xen-dev-utils/functions/isPrime.html index 3942a96..68fd2de 100644 --- a/xen-dev-utils/functions/isPrime.html +++ b/xen-dev-utils/functions/isPrime.html @@ -1,4 +1,4 @@ isPrime | xen-dev-utils

    Function isPrime

    • isPrime(n): boolean

    • Check a number for primality.

      Parameters

      • n: number

        Number to check.

      Returns boolean

      True if the number is prime, false otherwise.

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/iterCombinations.html b/xen-dev-utils/functions/iterCombinations.html index 0ce8283..4575eca 100644 --- a/xen-dev-utils/functions/iterCombinations.html +++ b/xen-dev-utils/functions/iterCombinations.html @@ -1,4 +1,4 @@ iterCombinations | xen-dev-utils

    Function iterCombinations

    • iterCombinations<T>(set): Generator<T[], number, undefined>

    • Get all possible combinations of elements in a set.

      Type Parameters

      • T

      Parameters

      • set: T[]

        Array of objects of any type. They are treated as unique.

      Returns Generator<T[], number, undefined>

      Generator of arrays representing all possible non-empty combinations of elements in a set.

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/iterKCombinations.html b/xen-dev-utils/functions/iterKCombinations.html index 6833c43..02d3d52 100644 --- a/xen-dev-utils/functions/iterKCombinations.html +++ b/xen-dev-utils/functions/iterKCombinations.html @@ -2,4 +2,4 @@

    Type Parameters

    Parameters

    Returns Generator<T[], number, undefined>

    Generator of found combinations, size of a combination is k.

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/iteratedEuclid.html b/xen-dev-utils/functions/iteratedEuclid.html index 1c1f317..a275aa1 100644 --- a/xen-dev-utils/functions/iteratedEuclid.html +++ b/xen-dev-utils/functions/iteratedEuclid.html @@ -1,4 +1,4 @@ iteratedEuclid | xen-dev-utils

    Function iteratedEuclid

    • iteratedEuclid(params): number[]

    • Iterated (extended) Euclidean algorithm.

      Parameters

      • params: Iterable<number>

        An iterable of integers.

      Returns number[]

      Bézout coefficients of the parameters.

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/kCombinations.html b/xen-dev-utils/functions/kCombinations.html index 92a0c46..05964fe 100644 --- a/xen-dev-utils/functions/kCombinations.html +++ b/xen-dev-utils/functions/kCombinations.html @@ -5,4 +5,4 @@

    Type Parameters

    Parameters

    Returns T[][]

    Array of found non-empty combinations, size of a combination is k.

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    Parameters

    Returns number

    The smallest integer that both a and b divide.

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  • Parameters

    Returns bigint

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  • lcm(a, b): bigint

  • Parameters

    Returns bigint

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/mmod.html b/xen-dev-utils/functions/mmod.html index a60de9b..000a00d 100644 --- a/xen-dev-utils/functions/mmod.html +++ b/xen-dev-utils/functions/mmod.html @@ -2,4 +2,4 @@

    Parameters

    Returns number

    The remainder of Euclidean division of a by b.

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  • mmod(a, b): bigint

  • Parameters

    Returns bigint

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  • mmod(a, b): bigint

  • Parameters

    Returns bigint

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/monzoToBigInt.html b/xen-dev-utils/functions/monzoToBigInt.html index bad0183..ee3faf8 100644 --- a/xen-dev-utils/functions/monzoToBigInt.html +++ b/xen-dev-utils/functions/monzoToBigInt.html @@ -1,4 +1,4 @@ monzoToBigInt | xen-dev-utils

    Function monzoToBigInt

    • monzoToBigInt(monzo): bigint

    • Convert a monzo to the BigInt it represents.

      Parameters

      • monzo: Iterable<number>

        Iterable of prime exponents.

      Returns bigint

      BigInt representation of the monzo.

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/monzoToBigNumeratorDenominator.html b/xen-dev-utils/functions/monzoToBigNumeratorDenominator.html index 337fa55..5b1f00c 100644 --- a/xen-dev-utils/functions/monzoToBigNumeratorDenominator.html +++ b/xen-dev-utils/functions/monzoToBigNumeratorDenominator.html @@ -1,4 +1,4 @@ monzoToBigNumeratorDenominator | xen-dev-utils

    Function monzoToBigNumeratorDenominator

    • monzoToBigNumeratorDenominator(monzo): {
          denominator: bigint;
          numerator: bigint;
      }

    • Convert a monzo to the BigInt fraction it represents.

      Parameters

      • monzo: Iterable<number>

        Iterable of prime exponents.

      Returns {
          denominator: bigint;
          numerator: bigint;
      }

      Record with keys 'numerator' and 'denominator containing BigInts.

      -
      • denominator: bigint
      • numerator: bigint

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/monzoToCents.html b/xen-dev-utils/functions/monzoToCents.html index 9626d09..9ec6755 100644 --- a/xen-dev-utils/functions/monzoToCents.html +++ b/xen-dev-utils/functions/monzoToCents.html @@ -2,4 +2,4 @@ Monzos representing small rational numbers (commas) are measured accurately.

    Parameters

    Returns number

    The size of the represented number in cents (1200ths of an octave).

    -

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    Function monzoToFraction

    • monzoToFraction(monzo): Fraction

    • Convert a monzo to the fraction it represents.

      Parameters

      • monzo: Iterable<number>

        Iterable of prime exponents.

      Returns Fraction

      Fractional representation of the monzo.

      -

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    Parameters

    Returns boolean

    true if the two values are equal when interpreted as fractions.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/mtof.html b/xen-dev-utils/functions/mtof.html index a4bceb1..e938054 100644 --- a/xen-dev-utils/functions/mtof.html +++ b/xen-dev-utils/functions/mtof.html @@ -1,4 +1,4 @@ mtof | xen-dev-utils

    Function mtof

    • mtof(index): number

    • Convert MIDI note number to frequency.

      Parameters

      • index: number

        MIDI note number or MTS value.

      Returns number

      Frequency in Hertz.

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/mtsBytesToFrequency.html b/xen-dev-utils/functions/mtsBytesToFrequency.html index c87a12d..01b4c96 100644 --- a/xen-dev-utils/functions/mtsBytesToFrequency.html +++ b/xen-dev-utils/functions/mtsBytesToFrequency.html @@ -1,4 +1,4 @@ mtsBytesToFrequency | xen-dev-utils

    Function mtsBytesToFrequency

    • mtsBytesToFrequency(mtsBytes): number

    • Convert 3-byte MTS value to frequency

      Parameters

      • mtsBytes: Uint8Array

        Uint8Array of 3-bytes of 7-bit MTS values

      Returns number

      frequency Frequency in Hertz

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/mtsBytesToHex.html b/xen-dev-utils/functions/mtsBytesToHex.html index 0705b2e..905bc19 100644 --- a/xen-dev-utils/functions/mtsBytesToHex.html +++ b/xen-dev-utils/functions/mtsBytesToHex.html @@ -2,4 +2,4 @@

    Parameters

    Returns String

    String representation of MTS value in hexadecimal can be used in MIDI messages

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/mtsBytesToMts.html b/xen-dev-utils/functions/mtsBytesToMts.html index d62e588..1974281 100644 --- a/xen-dev-utils/functions/mtsBytesToMts.html +++ b/xen-dev-utils/functions/mtsBytesToMts.html @@ -1,4 +1,4 @@ mtsBytesToMts | xen-dev-utils

    Function mtsBytesToMts

    • mtsBytesToMts(mtsBytes): number

    • Convert 3-byte MTS value to frequency

      Parameters

      • mtsBytes: Uint8Array

        Uint8Array of 3-bytes of 7-bit MTS values

      Returns number

      frequency Frequency in Hertz

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/mtsToMtsBytes.html b/xen-dev-utils/functions/mtsToMtsBytes.html index 4cb14cf..d00e18a 100644 --- a/xen-dev-utils/functions/mtsToMtsBytes.html +++ b/xen-dev-utils/functions/mtsToMtsBytes.html @@ -1,4 +1,4 @@ mtsToMtsBytes | xen-dev-utils

    Function mtsToMtsBytes

    • mtsToMtsBytes(mtsValue): Uint8Array

    • Convert MTS pitch value to 3-byte representation

      Parameters

      • mtsValue: number

        MTS pitch value

      Returns Uint8Array

      Uint8Array 3-byte of 7-bit MTS data

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/natsToCents.html b/xen-dev-utils/functions/natsToCents.html index b8b2b0d..48c3c4f 100644 --- a/xen-dev-utils/functions/natsToCents.html +++ b/xen-dev-utils/functions/natsToCents.html @@ -1,4 +1,4 @@ natsToCents | xen-dev-utils

    Function natsToCents

    • natsToCents(nats): number

    • Convert natural units to cents.

      Parameters

      • nats: number

        Musical interval in natural units.

      Returns number

      Musical interval in cents.

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/natsToSemitones.html b/xen-dev-utils/functions/natsToSemitones.html index 2279f14..f779c60 100644 --- a/xen-dev-utils/functions/natsToSemitones.html +++ b/xen-dev-utils/functions/natsToSemitones.html @@ -1,4 +1,4 @@ natsToSemitones | xen-dev-utils

    Function natsToSemitones

    • natsToSemitones(nats): number

    • Convert natural units to cents.

      Parameters

      • nats: number

        Musical interval in natural units.

      Returns number

      Musical interval in semitones.

      -

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    Parameters

    Returns number

    The length of the vector.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/nthPrime.html b/xen-dev-utils/functions/nthPrime.html new file mode 100644 index 0000000..be75aca --- /dev/null +++ b/xen-dev-utils/functions/nthPrime.html @@ -0,0 +1,4 @@ +nthPrime | xen-dev-utils

    Function nthPrime

    • nthPrime(n): number

    • Obtain the nth odd prime.

      +

      Parameters

      • n: number

        1-based ordinal of the nth odd prime, or zero to obtain prime two.

        +

      Returns number

      The nth odd prime number or 2 if n === 0.

      +

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/primeFactorize.html b/xen-dev-utils/functions/primeFactorize.html new file mode 100644 index 0000000..a598a8d --- /dev/null +++ b/xen-dev-utils/functions/primeFactorize.html @@ -0,0 +1,4 @@ +primeFactorize | xen-dev-utils

    Function primeFactorize

    • primeFactorize(value): Map<number, number>

    • Factorize a number into a Map instace with prime numbers as keys and their multiplicity as values.

      +

      Parameters

      Returns Map<number, number>

      A sparse monzo.

      +

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/primeLimit.html b/xen-dev-utils/functions/primeLimit.html index 24e053f..334eb1f 100644 --- a/xen-dev-utils/functions/primeLimit.html +++ b/xen-dev-utils/functions/primeLimit.html @@ -3,4 +3,4 @@
  • asOrdinal: boolean = false

    Return the limit as an ordinal instead of a prime. (1 is #0, 2 is #1, 3 is #2, 5 is #3, etc.)

  • maxLimit: number = 7919

    Maximum prime limit to consider.

    • Returns number

    The largest prime in the factorization of the input. Infinity if above the maximum limit. NaN if not applicable.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/primeRange.html b/xen-dev-utils/functions/primeRange.html new file mode 100644 index 0000000..b670be2 --- /dev/null +++ b/xen-dev-utils/functions/primeRange.html @@ -0,0 +1,5 @@ +primeRange | xen-dev-utils

    Function primeRange

    • primeRange(start, end): number[]

    • Obtain a range of odd primes starting at ordinal the given ordinal.

      +

      Parameters

      • start: number

        1-based ordinal of the nth odd prime to start from, or zero to include prime two.

        +
      • end: number

        Range end. end - start elements are returned.

        +

      Returns number[]

      The primes in the range.

      +

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/primes-1.html b/xen-dev-utils/functions/primes-1.html index 9c7ed4e..8430682 100644 --- a/xen-dev-utils/functions/primes-1.html +++ b/xen-dev-utils/functions/primes-1.html @@ -2,4 +2,4 @@

    Parameters

    Returns number[]

    An array of primes p in ascending order such that start <= p <= end.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/rescale.html b/xen-dev-utils/functions/rescale.html index 752f430..9e5bf0e 100644 --- a/xen-dev-utils/functions/rescale.html +++ b/xen-dev-utils/functions/rescale.html @@ -2,4 +2,4 @@

    Parameters

    Returns Monzo

    The (modified) target monzo.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/scale.html b/xen-dev-utils/functions/scale.html index 1b64352..b8e7792 100644 --- a/xen-dev-utils/functions/scale.html +++ b/xen-dev-utils/functions/scale.html @@ -2,4 +2,4 @@

    Parameters

    Returns number[]

    The scalar multiple.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/semitonesToNats.html b/xen-dev-utils/functions/semitonesToNats.html index dacda39..6f1beaa 100644 --- a/xen-dev-utils/functions/semitonesToNats.html +++ b/xen-dev-utils/functions/semitonesToNats.html @@ -1,4 +1,4 @@ semitonesToNats | xen-dev-utils

    Function semitonesToNats

    • semitonesToNats(semitones): number

    • Convert semitones to natural units.

      Parameters

      • semitones: number

        Musical interval in semitones.

      Returns number

      Musical interval in natural units.

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/sub.html b/xen-dev-utils/functions/sub.html index c3bf3f0..81d7015 100644 --- a/xen-dev-utils/functions/sub.html +++ b/xen-dev-utils/functions/sub.html @@ -2,4 +2,4 @@

    Parameters

    Returns Monzo

    A monzo that represents the division of the two numbers represented by a and b.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/sum.html b/xen-dev-utils/functions/sum.html index 1a32085..4de8a6f 100644 --- a/xen-dev-utils/functions/sum.html +++ b/xen-dev-utils/functions/sum.html @@ -1,4 +1,4 @@ sum | xen-dev-utils

    Function sum

    • sum(iterable): number

    • Accurately add up elements from an iterable using Shewchuk's algorithm.

      Parameters

      • iterable: Iterable<number>

        Numbers to sum together.

      Returns number

      The sum of the elements.

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/tenneyHeight.html b/xen-dev-utils/functions/tenneyHeight.html new file mode 100644 index 0000000..241f0d2 --- /dev/null +++ b/xen-dev-utils/functions/tenneyHeight.html @@ -0,0 +1,4 @@ +tenneyHeight | xen-dev-utils

    Function tenneyHeight

    • tenneyHeight(value): number

    • Given fraction p/q calculate log(abs(p*q)).

      +

      Parameters

      Returns number

      The Tenney-height of the number.

      +

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/toMonzo.html b/xen-dev-utils/functions/toMonzo.html index 0a1a6ac..c98b469 100644 --- a/xen-dev-utils/functions/toMonzo.html +++ b/xen-dev-utils/functions/toMonzo.html @@ -1,4 +1,4 @@ toMonzo | xen-dev-utils

    Function toMonzo

    • toMonzo(n): Monzo

    • Extract the exponents of the prime factors of a rational number.

      Parameters

      Returns Monzo

      The monzo representing n.

      -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/toMonzoAndResidual.html b/xen-dev-utils/functions/toMonzoAndResidual.html index 9571ec7..12cf912 100644 --- a/xen-dev-utils/functions/toMonzoAndResidual.html +++ b/xen-dev-utils/functions/toMonzoAndResidual.html @@ -2,4 +2,4 @@

    Parameters

    Returns [Monzo, bigint]

    The monzo representing n and a multiplicative residue that cannot be represented in the given limit.

    -
  • toMonzoAndResidual(n, numberOfComponents): [Monzo, Fraction]

  • Parameters

    Returns [Monzo, Fraction]

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  • toMonzoAndResidual(n, numberOfComponents): [Monzo, Fraction]

  • Parameters

    Returns [Monzo, Fraction]

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/valueToCents.html b/xen-dev-utils/functions/valueToCents.html index 7c6a8e3..7f02cc7 100644 --- a/xen-dev-utils/functions/valueToCents.html +++ b/xen-dev-utils/functions/valueToCents.html @@ -3,4 +3,4 @@

    Parameters

    Returns number

    Musical interval in additive representation measured in cents.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/functions/wilsonHeight.html b/xen-dev-utils/functions/wilsonHeight.html new file mode 100644 index 0000000..ce93f82 --- /dev/null +++ b/xen-dev-utils/functions/wilsonHeight.html @@ -0,0 +1,4 @@ +wilsonHeight | xen-dev-utils

    Function wilsonHeight

    • wilsonHeight(value): number

    • Given fraction p/q calculate sopfr(p) + sopfr(q), ignoring sign.

      +

      Parameters

      • value: FractionValue | Monzo | Map<number, number>

        Rational number, an array of its prime exponents or a Map of its prime exponents.

        +

      Returns number

      Sum of prime factors with repetition of p*q.

      +

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    \ No newline at end of file diff --git a/xen-dev-utils/interfaces/AnyArray.html b/xen-dev-utils/interfaces/AnyArray.html index b398bb3..ef4b604 100644 --- a/xen-dev-utils/interfaces/AnyArray.html +++ b/xen-dev-utils/interfaces/AnyArray.html @@ -1,2 +1,2 @@ -AnyArray | xen-dev-utils

    Interface AnyArray

    interface AnyArray {
        length: number;
        [key: number]: any;
    }

    Indexable

    [key: number]: any

    Properties

    length -

    Properties

    length

    length: number

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    \ No newline at end of file +AnyArray | xen-dev-utils

    Interface AnyArray

    interface AnyArray {
        length: number;
        [key: number]: any;
    }

    Indexable

    [key: number]: any

    Properties

    length +

    Properties

    length

    length: number

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    \ No newline at end of file diff --git a/xen-dev-utils/interfaces/NumberArray.html b/xen-dev-utils/interfaces/NumberArray.html index 676a313..78bf485 100644 --- a/xen-dev-utils/interfaces/NumberArray.html +++ b/xen-dev-utils/interfaces/NumberArray.html @@ -1,2 +1,2 @@ -NumberArray | xen-dev-utils

    Interface NumberArray

    interface NumberArray {
        length: number;
        [key: number]: number;
    }

    Indexable

    [key: number]: number

    Properties

    length -

    Properties

    length

    length: number

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    Interface NumberArray

    interface NumberArray {
        length: number;
        [key: number]: number;
    }

    Indexable

    [key: number]: number

    Properties

    length +

    Properties

    length

    length: number

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    \ No newline at end of file diff --git a/xen-dev-utils/modules.html b/xen-dev-utils/modules.html index 3f7c1f4..10fac12 100644 --- a/xen-dev-utils/modules.html +++ b/xen-dev-utils/modules.html @@ -65,14 +65,19 @@ natsToCents natsToSemitones norm +nthPrime +primeFactorize primeLimit +primeRange primes rescale scale semitonesToNats sub sum +tenneyHeight toMonzo toMonzoAndResidual valueToCents +wilsonHeight

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    \ No newline at end of file diff --git a/xen-dev-utils/types/ExtendedEuclid.html b/xen-dev-utils/types/ExtendedEuclid.html index 4135660..3e84f98 100644 --- a/xen-dev-utils/types/ExtendedEuclid.html +++ b/xen-dev-utils/types/ExtendedEuclid.html @@ -4,4 +4,4 @@
  • gcd: number

    Greatest common divisor of the parameters.

  • quotientA: number

    Quotient of the first parameter when divided by the gcd

  • quotientB: number

    Quotient of the second parameter when divided by the gcd

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/types/FractionValue.html b/xen-dev-utils/types/FractionValue.html index 1ef3322..3011078 100644 --- a/xen-dev-utils/types/FractionValue.html +++ b/xen-dev-utils/types/FractionValue.html @@ -1 +1 @@ -FractionValue | xen-dev-utils

    Type alias FractionValue

    FractionValue: Fraction | UnsignedFraction | number | string

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    \ No newline at end of file +FractionValue | xen-dev-utils

    Type alias FractionValue

    FractionValue: Fraction | UnsignedFraction | number | string

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    \ No newline at end of file diff --git a/xen-dev-utils/types/Monzo.html b/xen-dev-utils/types/Monzo.html index b510859..a950c2c 100644 --- a/xen-dev-utils/types/Monzo.html +++ b/xen-dev-utils/types/Monzo.html @@ -1,2 +1,2 @@ Monzo | xen-dev-utils

    Type alias Monzo

    Monzo: number[]

    Array of integers representing the exponents of prime numbers in the unique factorization of a rational number.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/types/UnsignedFraction.html b/xen-dev-utils/types/UnsignedFraction.html index a8342b5..378ea77 100644 --- a/xen-dev-utils/types/UnsignedFraction.html +++ b/xen-dev-utils/types/UnsignedFraction.html @@ -1 +1 @@ -UnsignedFraction | xen-dev-utils

    Type alias UnsignedFraction

    UnsignedFraction: {
        d: number;
        n: number;
    }

    Type declaration

    • d: number
    • n: number

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    \ No newline at end of file +UnsignedFraction | xen-dev-utils

    Type alias UnsignedFraction

    UnsignedFraction: {
        d: number;
        n: number;
    }

    Type declaration

    • d: number
    • n: number

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    \ No newline at end of file diff --git a/xen-dev-utils/variables/BIG_INT_PRIMES.html b/xen-dev-utils/variables/BIG_INT_PRIMES.html index 8788b52..e6edaa7 100644 --- a/xen-dev-utils/variables/BIG_INT_PRIMES.html +++ b/xen-dev-utils/variables/BIG_INT_PRIMES.html @@ -1,2 +1,2 @@ BIG_INT_PRIMES | xen-dev-utils

    Variable BIG_INT_PRIMESConst

    BIG_INT_PRIMES: bigint[] = ...

    BigInt representation of the primes.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/variables/LOG_PRIMES.html b/xen-dev-utils/variables/LOG_PRIMES.html index bb83549..7f56d38 100644 --- a/xen-dev-utils/variables/LOG_PRIMES.html +++ b/xen-dev-utils/variables/LOG_PRIMES.html @@ -1,2 +1,2 @@ LOG_PRIMES | xen-dev-utils

    Variable LOG_PRIMESConst

    LOG_PRIMES: number[] = ...

    Logarithms of prime numbers up to ln(7919).

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/variables/PRIMES.html b/xen-dev-utils/variables/PRIMES.html index 315496d..e45a827 100644 --- a/xen-dev-utils/variables/PRIMES.html +++ b/xen-dev-utils/variables/PRIMES.html @@ -1,2 +1,2 @@ PRIMES | xen-dev-utils

    Variable PRIMESConst

    PRIMES: number[] = ...

    Prime numbers up to 7919.

    -

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    \ No newline at end of file diff --git a/xen-dev-utils/variables/PRIME_CENTS.html b/xen-dev-utils/variables/PRIME_CENTS.html index 028c5ce..d747cc2 100644 --- a/xen-dev-utils/variables/PRIME_CENTS.html +++ b/xen-dev-utils/variables/PRIME_CENTS.html @@ -1,2 +1,2 @@ PRIME_CENTS | xen-dev-utils

    Variable PRIME_CENTSConst

    PRIME_CENTS: number[] = ...

    Prime number harmonics in additive representation measured in cents up to harmonic 7919 ≈ 15541.3 cents.

    -

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