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Scale 1617

Scale 1617, Ian Ring Music Theory

i = imperfections

Tones5 (pentatonic)
Pitch Class Set{0,4,6,9,10}
Forte Number5-28
Rotational Symmetrynone
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
prime: 333
enantiomorph: 333
Deep Scaleno
Interval Vector122212
Interval Spectrumpm2n2s2dt2
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {8,9,10,11}
Spectra Variation2.4
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 1617 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 357
Scale 357, Ian Ring Music Theory
3rd mode:
Scale 1113
Scale 1113: Locrian Pentatonic 2, Ian Ring Music TheoryLocrian Pentatonic 2
4th mode:
Scale 651
Scale 651, Ian Ring Music Theory
5th mode:
Scale 2373
Scale 2373, Ian Ring Music Theory


The prime form of this scale is Scale 333

Scale 333Scale 333, Ian Ring Music Theory


The pentatonic modal family [1617, 357, 1113, 651, 2373] is the negative of the heptatonic modal family [747, 1431, 1629, 1881, 2421, 2763, 3429]


The inverse of a scale is a reflection using the root as its axis. The inverse of 1617 is 333

Scale 333Scale 333, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 1617 is chiral, and its enantiomorph is scale 333

Scale 333Scale 333, 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 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
Scale 1621Scale 1621: Prometheus (Scriabin), Ian Ring Music TheoryPrometheus (Scriabin)
Scale 1625Scale 1625, Ian Ring Music Theory
Scale 1601Scale 1601, Ian Ring Music Theory
Scale 1609Scale 1609, Ian Ring Music Theory
Scale 1633Scale 1633, Ian Ring Music Theory
Scale 1649Scale 1649, Ian Ring Music Theory
Scale 1553Scale 1553, Ian Ring Music Theory
Scale 1585Scale 1585: Raga Khamaji Durga, Ian Ring Music TheoryRaga Khamaji Durga
Scale 1681Scale 1681: Raga Valaji, Ian Ring Music TheoryRaga Valaji
Scale 1745Scale 1745: Raga Vutari, Ian Ring Music TheoryRaga Vutari
Scale 1873Scale 1873, Ian Ring Music Theory
Scale 1105Scale 1105: Messiaen truncated mode 6 inverse, Ian Ring Music TheoryMessiaen truncated mode 6 inverse
Scale 1361Scale 1361, Ian Ring Music Theory
Scale 593Scale 593, Ian Ring Music Theory
Scale 2641Scale 2641: Raga Hindol, Ian Ring Music TheoryRaga Hindol
Scale 3665Scale 3665, 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