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Scale 1185: "Genus Primum Inverse"

Scale 1185: Genus Primum Inverse, Ian Ring Music Theory

Common Names

Ancient Greek
Genus Primum Inverse


Cardinality4 (tetratonic)
Pitch Class Set{0,5,7,10}
Forte Number4-23
Rotational Symmetrynone
Reflection Axes2.5
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
prime: 165
Deep Scaleno
Interval Vector021030
Interval Spectrump3ns2
Distribution Spectra<1> = {2,3,5}
<2> = {5,7}
<3> = {7,9,10}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Ridge Tones[5]


Modes are the rotational transformation of this scale. Scale 1185 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 165
Scale 165: Genus Primum, Ian Ring Music TheoryGenus PrimumThis is the prime mode
3rd mode:
Scale 1065
Scale 1065, Ian Ring Music Theory
4th mode:
Scale 645
Scale 645, Ian Ring Music Theory


The prime form of this scale is Scale 165

Scale 165Scale 165: Genus Primum, Ian Ring Music TheoryGenus Primum


The tetratonic modal family [1185, 165, 1065, 645] (Forte: 4-23) is the complement of the octatonic modal family [1455, 1515, 1725, 1965, 2775, 2805, 3435, 3765] (Forte: 8-23)


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

Scale 165Scale 165: Genus Primum, Ian Ring Music TheoryGenus Primum


T0 1185  T0I 165
T1 2370  T1I 330
T2 645  T2I 660
T3 1290  T3I 1320
T4 2580  T4I 2640
T5 1065  T5I 1185
T6 2130  T6I 2370
T7 165  T7I 645
T8 330  T8I 1290
T9 660  T9I 2580
T10 1320  T10I 1065
T11 2640  T11I 2130

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 1187Scale 1187: Kokin-joshi, Ian Ring Music TheoryKokin-joshi
Scale 1189Scale 1189: Suspended Pentatonic, Ian Ring Music TheorySuspended Pentatonic
Scale 1193Scale 1193: Minor Pentatonic, Ian Ring Music TheoryMinor Pentatonic
Scale 1201Scale 1201: Mixolydian Pentatonic, Ian Ring Music TheoryMixolydian Pentatonic
Scale 1153Scale 1153, Ian Ring Music Theory
Scale 1169Scale 1169: Raga Mahathi, Ian Ring Music TheoryRaga Mahathi
Scale 1217Scale 1217, Ian Ring Music Theory
Scale 1249Scale 1249, Ian Ring Music Theory
Scale 1057Scale 1057: Sansagari, Ian Ring Music TheorySansagari
Scale 1121Scale 1121, Ian Ring Music Theory
Scale 1313Scale 1313, Ian Ring Music Theory
Scale 1441Scale 1441, Ian Ring Music Theory
Scale 1697Scale 1697: Raga Kuntvarali, Ian Ring Music TheoryRaga Kuntvarali
Scale 161Scale 161: Raga Sarvasri, Ian Ring Music TheoryRaga Sarvasri
Scale 673Scale 673, Ian Ring Music Theory
Scale 2209Scale 2209, Ian Ring Music Theory
Scale 3233Scale 3233, 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. Bibliography