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Scale 315

Scale 315, Ian Ring Music Theory
iii

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,1,3,4,5,8}
Forte Number6-14
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?yes
Chiralityyes
enantiomorph: 2961
Deep Scaleno
Interval Vector323430
Interval Spectrump3m4n3s2d3
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,7}
<3> = {4,5,7,8}
<4> = {5,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Myhill Propertyno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 315 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2205
Scale 2205, Ian Ring Music Theory
3rd mode:
Scale 1575
Scale 1575, Ian Ring Music Theory
4th mode:
Scale 2835
Scale 2835, Ian Ring Music Theory
5th mode:
Scale 3465
Scale 3465, Ian Ring Music Theory
6th mode:
Scale 945
Scale 945: Raga Saravati, Ian Ring Music TheoryRaga Saravati

Prime

This is the prime form of this scale.

Negative

The hexatonic modal family [315, 2205, 1575, 2835, 3465, 945] is the negative of the hexatonic modal family [315, 945, 1575, 2205, 2835, 3465]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 315 is 2961

Scale 2961Scale 2961, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 315 is chiral, and its enantiomorph is scale 2961

Scale 2961Scale 2961, 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 313Scale 313, Ian Ring Music Theory
Scale 317Scale 317, Ian Ring Music Theory
Scale 319Scale 319, Ian Ring Music Theory
Scale 307Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga Megharanjani
Scale 311Scale 311, Ian Ring Music Theory
Scale 299Scale 299: Raga Chitthakarshini, Ian Ring Music TheoryRaga Chitthakarshini
Scale 283Scale 283, Ian Ring Music Theory
Scale 347Scale 347, Ian Ring Music Theory
Scale 379Scale 379, Ian Ring Music Theory
Scale 443Scale 443, Ian Ring Music Theory
Scale 59Scale 59, Ian Ring Music Theory
Scale 187Scale 187, Ian Ring Music Theory
Scale 571Scale 571, Ian Ring Music Theory
Scale 827Scale 827, Ian Ring Music Theory
Scale 1339Scale 1339, Ian Ring Music Theory
Scale 2363Scale 2363, 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