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Scale 1543

Scale 1543, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above.

Tonnetz Diagram

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Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,2,9,10}
Forte Number5-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3085
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 55
Deep Scaleno
Interval Vector322210
Interval Spectrumpm2n2s2d3
Distribution Spectra<1> = {1,2,7}
<2> = {2,3,8}
<3> = {4,9,10}
<4> = {5,10,11}
Spectra Variation4.8
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1543 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2819
Scale 2819, Ian Ring Music Theory
3rd mode:
Scale 3457
Scale 3457, Ian Ring Music Theory
4th mode:
Scale 59
Scale 59, Ian Ring Music Theory
5th mode:
Scale 2077
Scale 2077, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 55

Scale 55Scale 55, Ian Ring Music Theory

Complement

The pentatonic modal family [1543, 2819, 3457, 59, 2077] (Forte: 5-3) is the complement of the heptatonic modal family [319, 1009, 2207, 3151, 3623, 3859, 3977] (Forte: 7-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1543 is 3085

Scale 3085Scale 3085, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1543 is chiral, and its enantiomorph is scale 3085

Scale 3085Scale 3085, Ian Ring Music Theory

Transformations:

T0 1543  T0I 3085
T1 3086  T1I 2075
T2 2077  T2I 55
T3 59  T3I 110
T4 118  T4I 220
T5 236  T5I 440
T6 472  T6I 880
T7 944  T7I 1760
T8 1888  T8I 3520
T9 3776  T9I 2945
T10 3457  T10I 1795
T11 2819  T11I 3590

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 1541Scale 1541, Ian Ring Music Theory
Scale 1539Scale 1539, Ian Ring Music Theory
Scale 1547Scale 1547, Ian Ring Music Theory
Scale 1551Scale 1551, Ian Ring Music Theory
Scale 1559Scale 1559, Ian Ring Music Theory
Scale 1575Scale 1575: Zycrimic, Ian Ring Music TheoryZycrimic
Scale 1607Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic
Scale 1671Scale 1671, Ian Ring Music Theory
Scale 1799Scale 1799, Ian Ring Music Theory
Scale 1031Scale 1031, Ian Ring Music Theory
Scale 1287Scale 1287, Ian Ring Music Theory
Scale 519Scale 519, Ian Ring Music Theory
Scale 2567Scale 2567, Ian Ring Music Theory
Scale 3591Scale 3591, Ian Ring Music Theory

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Bibliography