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Scale 3513

Scale 3513, Ian Ring Music Theory

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,3,4,5,7,8,10,11}
Forte Number8-20
Rotational Symmetrynone
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
prime: 951
Deep Scaleno
Interval Vector545662
Interval Spectrump6m6n5s4d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {4,5}
<4> = {5,6,7}
<5> = {7,8}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation1.5
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 3513 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 951
Scale 951, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2523
Scale 2523, Ian Ring Music Theory
4th mode:
Scale 3309
Scale 3309, Ian Ring Music Theory
5th mode:
Scale 1851
Scale 1851, Ian Ring Music Theory
6th mode:
Scale 2973
Scale 2973, Ian Ring Music Theory
7th mode:
Scale 1767
Scale 1767, Ian Ring Music Theory
8th mode:
Scale 2931
Scale 2931, Ian Ring Music Theory


The prime form of this scale is Scale 951

Scale 951Scale 951, Ian Ring Music Theory


The octatonic modal family [3513, 951, 2523, 3309, 1851, 2973, 1767, 2931] is the negative of the tetratonic modal family [291, 393, 561, 2193]


The inverse of a scale is a reflection using the root as its axis. The inverse of 3513 is 951

Scale 951Scale 951, 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 3515Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
Scale 3517Scale 3517, Ian Ring Music Theory
Scale 3505Scale 3505, Ian Ring Music Theory
Scale 3509Scale 3509, Ian Ring Music Theory
Scale 3497Scale 3497, Ian Ring Music Theory
Scale 3481Scale 3481, Ian Ring Music Theory
Scale 3545Scale 3545, Ian Ring Music Theory
Scale 3577Scale 3577, Ian Ring Music Theory
Scale 3385Scale 3385: Chromatic Phrygian, Ian Ring Music TheoryChromatic Phrygian
Scale 3449Scale 3449, Ian Ring Music Theory
Scale 3257Scale 3257: Mela Calanata, Ian Ring Music TheoryMela Calanata
Scale 3769Scale 3769, Ian Ring Music Theory
Scale 4025Scale 4025, Ian Ring Music Theory
Scale 2489Scale 2489: Mela Gangeyabhusani, Ian Ring Music TheoryMela Gangeyabhusani
Scale 3001Scale 3001, Ian Ring Music Theory
Scale 1465Scale 1465: Mela Ragavardhani, Ian Ring Music TheoryMela Ragavardhani

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