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Scale 2813

Scale 2813, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,2,3,4,5,6,7,9,11}
Forte Number9-7
Rotational Symmetrynone
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
prime: 1471
enantiomorph: 2027
Deep Scaleno
Interval Vector677673
Interval Spectrump7m6n7s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.778
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 2813 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1727
Scale 1727, Ian Ring Music Theory
3rd mode:
Scale 2911
Scale 2911, Ian Ring Music Theory
4th mode:
Scale 3503
Scale 3503, Ian Ring Music Theory
5th mode:
Scale 3799
Scale 3799, Ian Ring Music Theory
6th mode:
Scale 3947
Scale 3947, Ian Ring Music Theory
7th mode:
Scale 4021
Scale 4021: Raga Pahadi, Ian Ring Music TheoryRaga Pahadi
8th mode:
Scale 2029
Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi
9th mode:
Scale 1531
Scale 1531, Ian Ring Music Theory


The prime form of this scale is Scale 1471

Scale 1471Scale 1471, Ian Ring Music Theory


The nonatonic modal family [2813, 1727, 2911, 3503, 3799, 3947, 4021, 2029, 1531] is the negative of the tritonic modal family [37, 641, 1033]


The inverse of a scale is a reflection using the root as its axis. The inverse of 2813 is 2027

Scale 2027Scale 2027, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 2813 is chiral, and its enantiomorph is scale 2027

Scale 2027Scale 2027, 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 2815Scale 2815, Ian Ring Music Theory
Scale 2809Scale 2809, Ian Ring Music Theory
Scale 2811Scale 2811, Ian Ring Music Theory
Scale 2805Scale 2805: Ishikotsucho, Ian Ring Music TheoryIshikotsucho
Scale 2797Scale 2797, Ian Ring Music Theory
Scale 2781Scale 2781, Ian Ring Music Theory
Scale 2749Scale 2749, Ian Ring Music Theory
Scale 2685Scale 2685, Ian Ring Music Theory
Scale 2941Scale 2941, Ian Ring Music Theory
Scale 3069Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
Scale 2301Scale 2301, Ian Ring Music Theory
Scale 2557Scale 2557, Ian Ring Music Theory
Scale 3325Scale 3325, Ian Ring Music Theory
Scale 3837Scale 3837: Minor Pentatonic with leading tones, Ian Ring Music TheoryMinor Pentatonic with leading tones
Scale 765Scale 765, Ian Ring Music Theory
Scale 1789Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II

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