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Scale 2767

Scale 2767, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,6,7,9,11}
Forte Number8-Z15
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 863
Chiralityyes
enantiomorph: 3691
Deep Scaleno
Interval Vector555553
Interval Spectrump5m5n5s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2767 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3431
Scale 3431, Ian Ring Music Theory
3rd mode:
Scale 3763
Scale 3763, Ian Ring Music Theory
4th mode:
Scale 3929
Scale 3929, Ian Ring Music Theory
5th mode:
Scale 1003
Scale 1003, Ian Ring Music Theory
6th mode:
Scale 2549
Scale 2549, Ian Ring Music Theory
7th mode:
Scale 1661
Scale 1661, Ian Ring Music Theory
8th mode:
Scale 1439
Scale 1439, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 863

Scale 863Scale 863, Ian Ring Music Theory

Negative

The octatonic modal family [2767, 3431, 3763, 3929, 1003, 2549, 1661, 1439] is the negative of the tetratonic modal family [83, 773, 1217, 2089]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2767 is 3691

Scale 3691Scale 3691, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2767 is chiral, and its enantiomorph is scale 3691

Scale 3691Scale 3691, Ian Ring Music Theory

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 2765Scale 2765: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
Scale 2763Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi
Scale 2759Scale 2759: Mela Pavani, Ian Ring Music TheoryMela Pavani
Scale 2775Scale 2775, Ian Ring Music Theory
Scale 2783Scale 2783, Ian Ring Music Theory
Scale 2799Scale 2799, Ian Ring Music Theory
Scale 2703Scale 2703, Ian Ring Music Theory
Scale 2735Scale 2735, Ian Ring Music Theory
Scale 2639Scale 2639, Ian Ring Music Theory
Scale 2895Scale 2895, Ian Ring Music Theory
Scale 3023Scale 3023, Ian Ring Music Theory
Scale 2255Scale 2255, Ian Ring Music Theory
Scale 2511Scale 2511, Ian Ring Music Theory
Scale 3279Scale 3279, Ian Ring Music Theory
Scale 3791Scale 3791, Ian Ring Music Theory
Scale 719Scale 719, Ian Ring Music Theory
Scale 1743Scale 1743, 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