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Scale 1013

Scale 1013, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,2,4,5,6,7,8,9}
Forte Number8-11
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 703
Chiralityyes
enantiomorph: 1529
Deep Scaleno
Interval Vector565552
Interval Spectrump5m5n5s6d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {4,5,6,7,8}
<5> = {5,6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.75
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1013 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1277
Scale 1277, Ian Ring Music Theory
3rd mode:
Scale 1343
Scale 1343, Ian Ring Music Theory
4th mode:
Scale 2719
Scale 2719, Ian Ring Music Theory
5th mode:
Scale 3407
Scale 3407, Ian Ring Music Theory
6th mode:
Scale 3751
Scale 3751, Ian Ring Music Theory
7th mode:
Scale 3923
Scale 3923, Ian Ring Music Theory
8th mode:
Scale 4009
Scale 4009, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 703

Scale 703Scale 703, Ian Ring Music Theory

Negative

The octatonic modal family [1013, 1277, 1343, 2719, 3407, 3751, 3923, 4009] is the negative of the tetratonic modal family [43, 1409, 1541, 2069]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1013 is 1529

Scale 1529Scale 1529, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1013 is chiral, and its enantiomorph is scale 1529

Scale 1529Scale 1529, 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 1015Scale 1015, Ian Ring Music Theory
Scale 1009Scale 1009, Ian Ring Music Theory
Scale 1011Scale 1011, Ian Ring Music Theory
Scale 1017Scale 1017, Ian Ring Music Theory
Scale 1021Scale 1021, Ian Ring Music Theory
Scale 997Scale 997, Ian Ring Music Theory
Scale 1005Scale 1005, Ian Ring Music Theory
Scale 981Scale 981: Mela Kantamani, Ian Ring Music TheoryMela Kantamani
Scale 949Scale 949: Mela Mararanjani, Ian Ring Music TheoryMela Mararanjani
Scale 885Scale 885, Ian Ring Music Theory
Scale 757Scale 757, Ian Ring Music Theory
Scale 501Scale 501, Ian Ring Music Theory
Scale 1525Scale 1525, Ian Ring Music Theory
Scale 2037Scale 2037, Ian Ring Music Theory
Scale 3061Scale 3061, 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