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Scale 1867

Scale 1867, Ian Ring Music Theory
iii

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,1,3,6,8,9,10}
Forte Number7-25
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 733
Chiralityyes
enantiomorph: 2653
Deep Scaleno
Interval Vector345342
Interval Spectrump4m3n5s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1867 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2981
Scale 2981, Ian Ring Music Theory
3rd mode:
Scale 1769
Scale 1769: Blues Heptatonic II, Ian Ring Music TheoryBlues Heptatonic II
4th mode:
Scale 733
Scale 733, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 1207
Scale 1207, Ian Ring Music Theory
6th mode:
Scale 2651
Scale 2651, Ian Ring Music Theory
7th mode:
Scale 3373
Scale 3373, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 733

Scale 733Scale 733, Ian Ring Music Theory

Negative

The heptatonic modal family [1867, 2981, 1769, 733, 1207, 2651, 3373] is the negative of the pentatonic modal family [301, 721, 1099, 1673, 2597]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1867 is 2653

Scale 2653Scale 2653, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1867 is chiral, and its enantiomorph is scale 2653

Scale 2653Scale 2653, 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 1865Scale 1865, Ian Ring Music Theory
Scale 1869Scale 1869, Ian Ring Music Theory
Scale 1871Scale 1871, Ian Ring Music Theory
Scale 1859Scale 1859, Ian Ring Music Theory
Scale 1863Scale 1863, Ian Ring Music Theory
Scale 1875Scale 1875, Ian Ring Music Theory
Scale 1883Scale 1883, Ian Ring Music Theory
Scale 1899Scale 1899, Ian Ring Music Theory
Scale 1803Scale 1803, Ian Ring Music Theory
Scale 1835Scale 1835, Ian Ring Music Theory
Scale 1931Scale 1931, Ian Ring Music Theory
Scale 1995Scale 1995, Ian Ring Music Theory
Scale 1611Scale 1611, Ian Ring Music Theory
Scale 1739Scale 1739: Mela Sadvidhamargini, Ian Ring Music TheoryMela Sadvidhamargini
Scale 1355Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
Scale 843Scale 843, Ian Ring Music Theory
Scale 2891Scale 2891, Ian Ring Music Theory
Scale 3915Scale 3915, 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