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Scale 1815

Scale 1815, Ian Ring Music Theory
iiii

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,1,2,4,8,9,10}
Forte Number7-13
Rotational Symmetrynone
Palindromicno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 375
Chiralityyes
enantiomorph: 3357
Deep Scaleno
Interval Vector443532
Interval Spectrump3m5n3s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {4,6,7}
<4> = {5,6,8}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation2.857
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1815 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2955
Scale 2955, Ian Ring Music Theory
3rd mode:
Scale 3525
Scale 3525, Ian Ring Music Theory
4th mode:
Scale 1905
Scale 1905, Ian Ring Music Theory
5th mode:
Scale 375
Scale 375, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2235
Scale 2235, Ian Ring Music Theory
7th mode:
Scale 3165
Scale 3165, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 375

Scale 375Scale 375, Ian Ring Music Theory

Negative

The heptatonic modal family [1815, 2955, 3525, 1905, 375, 2235, 3165] is the negative of the pentatonic modal family [279, 369, 1809, 2187, 3141]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1815 is 3357

Scale 3357Scale 3357, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1815 is chiral, and its enantiomorph is scale 3357

Scale 3357Scale 3357, 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 1813Scale 1813, Ian Ring Music Theory
Scale 1811Scale 1811, Ian Ring Music Theory
Scale 1819Scale 1819, Ian Ring Music Theory
Scale 1823Scale 1823, Ian Ring Music Theory
Scale 1799Scale 1799, Ian Ring Music Theory
Scale 1807Scale 1807, Ian Ring Music Theory
Scale 1831Scale 1831, Ian Ring Music Theory
Scale 1847Scale 1847, Ian Ring Music Theory
Scale 1879Scale 1879, Ian Ring Music Theory
Scale 1943Scale 1943, Ian Ring Music Theory
Scale 1559Scale 1559, Ian Ring Music Theory
Scale 1687Scale 1687, Ian Ring Music Theory
Scale 1303Scale 1303, Ian Ring Music Theory
Scale 791Scale 791, Ian Ring Music Theory
Scale 2839Scale 2839, Ian Ring Music Theory
Scale 3863Scale 3863, 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