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Scale 1871

Scale 1871, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,6,8,9,10}
Forte Number8-Z29
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 751
Chiralityyes
enantiomorph: 3677
Deep Scaleno
Interval Vector555553
Interval Spectrump5m5n5s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1871 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2983
Scale 2983, Ian Ring Music Theory
3rd mode:
Scale 3539
Scale 3539, Ian Ring Music Theory
4th mode:
Scale 3817
Scale 3817, Ian Ring Music Theory
5th mode:
Scale 989
Scale 989, Ian Ring Music Theory
6th mode:
Scale 1271
Scale 1271, Ian Ring Music Theory
7th mode:
Scale 2683
Scale 2683, Ian Ring Music Theory
8th mode:
Scale 3389
Scale 3389, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 751

Scale 751Scale 751, Ian Ring Music Theory

Negative

The octatonic modal family [1871, 2983, 3539, 3817, 989, 1271, 2683, 3389] is the negative of the tetratonic modal family [139, 353, 1553, 2117]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1871 is 3677

Scale 3677Scale 3677, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1871 is chiral, and its enantiomorph is scale 3677

Scale 3677Scale 3677, 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 1869Scale 1869, Ian Ring Music Theory
Scale 1867Scale 1867, Ian Ring Music Theory
Scale 1863Scale 1863, Ian Ring Music Theory
Scale 1879Scale 1879, Ian Ring Music Theory
Scale 1887Scale 1887, Ian Ring Music Theory
Scale 1903Scale 1903, Ian Ring Music Theory
Scale 1807Scale 1807, Ian Ring Music Theory
Scale 1839Scale 1839, Ian Ring Music Theory
Scale 1935Scale 1935, Ian Ring Music Theory
Scale 1999Scale 1999, Ian Ring Music Theory
Scale 1615Scale 1615, Ian Ring Music Theory
Scale 1743Scale 1743, Ian Ring Music Theory
Scale 1359Scale 1359, Ian Ring Music Theory
Scale 847Scale 847, Ian Ring Music Theory
Scale 2895Scale 2895, Ian Ring Music Theory
Scale 3919Scale 3919, 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