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Scale 3005

Scale 3005, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,2,3,4,5,7,8,9,11}
Forte Number9-11
Rotational Symmetrynone
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
prime: 1775
enantiomorph: 1979
Deep Scaleno
Interval Vector667773
Interval Spectrump7m7n7s6d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {9,10}
<8> = {10,11}
Spectra Variation1.111
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 3005 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1775
Scale 1775, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2935
Scale 2935, Ian Ring Music Theory
4th mode:
Scale 3515
Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
5th mode:
Scale 3805
Scale 3805, Ian Ring Music Theory
6th mode:
Scale 1975
Scale 1975, Ian Ring Music Theory
7th mode:
Scale 3035
Scale 3035, Ian Ring Music Theory
8th mode:
Scale 3565
Scale 3565, Ian Ring Music Theory
9th mode:
Scale 1915
Scale 1915, Ian Ring Music Theory


The prime form of this scale is Scale 1775

Scale 1775Scale 1775, Ian Ring Music Theory


The nonatonic modal family [3005, 1775, 2935, 3515, 3805, 1975, 3035, 3565, 1915] is the negative of the tritonic modal family [137, 289, 529]


The inverse of a scale is a reflection using the root as its axis. The inverse of 3005 is 1979

Scale 1979Scale 1979, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 3005 is chiral, and its enantiomorph is scale 1979

Scale 1979Scale 1979, 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 3007Scale 3007, Ian Ring Music Theory
Scale 3001Scale 3001, Ian Ring Music Theory
Scale 3003Scale 3003: Genus Chromaticum, Ian Ring Music TheoryGenus Chromaticum
Scale 2997Scale 2997: Major Bebop, Ian Ring Music TheoryMajor Bebop
Scale 2989Scale 2989: Bebop Minor, Ian Ring Music TheoryBebop Minor
Scale 2973Scale 2973, Ian Ring Music Theory
Scale 3037Scale 3037: nine tone scale, Ian Ring Music Theorynine tone scale
Scale 3069Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
Scale 2877Scale 2877, Ian Ring Music Theory
Scale 2941Scale 2941, Ian Ring Music Theory
Scale 2749Scale 2749, Ian Ring Music Theory
Scale 2493Scale 2493, Ian Ring Music Theory
Scale 3517Scale 3517, Ian Ring Music Theory
Scale 4029Scale 4029: Major/Minor mixed, Ian Ring Music TheoryMajor/Minor mixed
Scale 957Scale 957, Ian Ring Music Theory
Scale 1981Scale 1981: Houseini, Ian Ring Music TheoryHouseini

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