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Scale 1661

Scale 1661, Ian Ring Music Theory

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,2,3,4,5,6,9,10}
Forte Number8-Z15
Rotational Symmetrynone
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
prime: 863
enantiomorph: 1997
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


Modes are the rotational transformation of this scale. Scale 1661 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1439
Scale 1439, Ian Ring Music Theory
3rd mode:
Scale 2767
Scale 2767, Ian Ring Music Theory
4th mode:
Scale 3431
Scale 3431, Ian Ring Music Theory
5th mode:
Scale 3763
Scale 3763, Ian Ring Music Theory
6th mode:
Scale 3929
Scale 3929, Ian Ring Music Theory
7th mode:
Scale 1003
Scale 1003, Ian Ring Music Theory
8th mode:
Scale 2549
Scale 2549, Ian Ring Music Theory


The prime form of this scale is Scale 863

Scale 863Scale 863, Ian Ring Music Theory


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


The inverse of a scale is a reflection using the root as its axis. The inverse of 1661 is 1997

Scale 1997Scale 1997: Raga Cintamani, Ian Ring Music TheoryRaga Cintamani


Only scales that are chiral will have an enantiomorph. Scale 1661 is chiral, and its enantiomorph is scale 1997

Scale 1997Scale 1997: Raga Cintamani, Ian Ring Music TheoryRaga Cintamani

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 1663Scale 1663, Ian Ring Music Theory
Scale 1657Scale 1657, Ian Ring Music Theory
Scale 1659Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban
Scale 1653Scale 1653: Minor Romani inverse, Ian Ring Music TheoryMinor Romani inverse
Scale 1645Scale 1645: Dorian flat 5, Ian Ring Music TheoryDorian flat 5
Scale 1629Scale 1629, Ian Ring Music Theory
Scale 1597Scale 1597, Ian Ring Music Theory
Scale 1725Scale 1725: Minor Bebop, Ian Ring Music TheoryMinor Bebop
Scale 1789Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II
Scale 1917Scale 1917, Ian Ring Music Theory
Scale 1149Scale 1149, Ian Ring Music Theory
Scale 1405Scale 1405, Ian Ring Music Theory
Scale 637Scale 637: Debussy's Heptatonic, Ian Ring Music TheoryDebussy's Heptatonic
Scale 2685Scale 2685, Ian Ring Music Theory
Scale 3709Scale 3709, 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