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Scale 1847

Scale 1847, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,4,5,8,9,10}
Forte Number8-19
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 887
Chiralityyes
enantiomorph: 3485
Deep Scaleno
Interval Vector545752
Interval Spectrump5m7n5s4d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {4,5,6}
<4> = {5,6,7}
<5> = {6,7,8}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation1.75
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1847 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2971
Scale 2971, Ian Ring Music Theory
3rd mode:
Scale 3533
Scale 3533, Ian Ring Music Theory
4th mode:
Scale 1907
Scale 1907, Ian Ring Music Theory
5th mode:
Scale 3001
Scale 3001, Ian Ring Music Theory
6th mode:
Scale 887
Scale 887, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2491
Scale 2491, Ian Ring Music Theory
8th mode:
Scale 3293
Scale 3293, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 887

Scale 887Scale 887, Ian Ring Music Theory

Negative

The octatonic modal family [1847, 2971, 3533, 1907, 3001, 887, 2491, 3293] is the negative of the tetratonic modal family [275, 305, 785, 2185]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1847 is 3485

Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1847 is chiral, and its enantiomorph is scale 3485

Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach

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 1845Scale 1845, Ian Ring Music Theory
Scale 1843Scale 1843, Ian Ring Music Theory
Scale 1851Scale 1851, Ian Ring Music Theory
Scale 1855Scale 1855, Ian Ring Music Theory
Scale 1831Scale 1831, Ian Ring Music Theory
Scale 1839Scale 1839, Ian Ring Music Theory
Scale 1815Scale 1815, Ian Ring Music Theory
Scale 1879Scale 1879, Ian Ring Music Theory
Scale 1911Scale 1911: Messiaen mode 3, Ian Ring Music TheoryMessiaen mode 3
Scale 1975Scale 1975, Ian Ring Music Theory
Scale 1591Scale 1591, Ian Ring Music Theory
Scale 1719Scale 1719, Ian Ring Music Theory
Scale 1335Scale 1335, Ian Ring Music Theory
Scale 823Scale 823, Ian Ring Music Theory
Scale 2871Scale 2871, Ian Ring Music Theory
Scale 3895Scale 3895, 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