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The Exciting Universe Of Music Theory

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Scale 1975

Scale 1975, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,2,4,5,7,8,9,10}
Forte Number9-11
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1775
Chiralityyes
enantiomorph: 3517
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
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1975 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3035
Scale 3035, Ian Ring Music Theory
3rd mode:
Scale 3565
Scale 3565, Ian Ring Music Theory
4th mode:
Scale 1915
Scale 1915, Ian Ring Music Theory
5th mode:
Scale 3005
Scale 3005, Ian Ring Music Theory
6th mode:
Scale 1775
Scale 1775, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2935
Scale 2935, Ian Ring Music Theory
8th mode:
Scale 3515
Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
9th mode:
Scale 3805
Scale 3805, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 1775

Scale 1775Scale 1775, Ian Ring Music Theory

Negative

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

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1975 is 3517

Scale 3517Scale 3517, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1975 is chiral, and its enantiomorph is scale 3517

Scale 3517Scale 3517, 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 1973Scale 1973, Ian Ring Music Theory
Scale 1971Scale 1971, Ian Ring Music Theory
Scale 1979Scale 1979, Ian Ring Music Theory
Scale 1983Scale 1983, Ian Ring Music Theory
Scale 1959Scale 1959, Ian Ring Music Theory
Scale 1967Scale 1967: Diatonic Dorian mixed, Ian Ring Music TheoryDiatonic Dorian mixed
Scale 1943Scale 1943, Ian Ring Music Theory
Scale 2007Scale 2007, Ian Ring Music Theory
Scale 2039Scale 2039, Ian Ring Music Theory
Scale 1847Scale 1847, Ian Ring Music Theory
Scale 1911Scale 1911: Messiaen mode 3, Ian Ring Music TheoryMessiaen mode 3
Scale 1719Scale 1719, Ian Ring Music Theory
Scale 1463Scale 1463, Ian Ring Music Theory
Scale 951Scale 951, Ian Ring Music Theory
Scale 2999Scale 2999, Ian Ring Music Theory
Scale 4023Scale 4023, 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