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Scale 165: "Genus Primum"

Scale 165: Genus Primum, Ian Ring Music Theory

i = imperfections

Tones4 (tetratonic)
Pitch Class Set{0,2,5,7}
Forte Number4-23
Rotational Symmetrynone
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Deep Scaleno
Interval Vector021030
Interval Spectrump3ns2
Distribution Spectra<1> = {2,3,5}
<2> = {5,7}
<3> = {7,9,10}
Spectra Variation2
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 165 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1065
Scale 1065, Ian Ring Music Theory
3rd mode:
Scale 645
Scale 645, Ian Ring Music Theory
4th mode:
Scale 1185
Scale 1185: Genus Primum Inverse, Ian Ring Music TheoryGenus Primum Inverse


This is the prime form of this scale.


The tetratonic modal family [165, 1065, 645, 1185] is the negative of the octatonic modal family [1455, 1515, 1725, 1965, 2775, 2805, 3435, 3765]


The inverse of a scale is a reflection using the root as its axis. The inverse of 165 is 1185

Scale 1185Scale 1185: Genus Primum Inverse, Ian Ring Music TheoryGenus Primum Inverse

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 167Scale 167, Ian Ring Music Theory
Scale 161Scale 161: Raga Sarvasri, Ian Ring Music TheoryRaga Sarvasri
Scale 163Scale 163, Ian Ring Music Theory
Scale 169Scale 169: Vietnamese tetratonic, Ian Ring Music TheoryVietnamese tetratonic
Scale 173Scale 173: Raga Purnalalita, Ian Ring Music TheoryRaga Purnalalita
Scale 181Scale 181: Raga Budhamanohari, Ian Ring Music TheoryRaga Budhamanohari
Scale 133Scale 133, Ian Ring Music Theory
Scale 149Scale 149: Eskimo tetratonic, Ian Ring Music TheoryEskimo tetratonic
Scale 197Scale 197, Ian Ring Music Theory
Scale 229Scale 229, Ian Ring Music Theory
Scale 37Scale 37, Ian Ring Music Theory
Scale 101Scale 101, Ian Ring Music Theory
Scale 293Scale 293: Raga Haripriya, Ian Ring Music TheoryRaga Haripriya
Scale 421Scale 421: Han-kumoi, Ian Ring Music TheoryHan-kumoi
Scale 677Scale 677: Scottish Pentatonic, Ian Ring Music TheoryScottish Pentatonic
Scale 1189Scale 1189: Suspended Pentatonic, Ian Ring Music TheorySuspended Pentatonic
Scale 2213Scale 2213: Raga Desh, Ian Ring Music TheoryRaga Desh

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