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Scale 1647

Scale 1647, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,5,6,9,10}
Forte Number8-17
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 891
Chiralityno
Deep Scaleno
Interval Vector546652
Interval Spectrump5m6n6s4d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1647 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2871
Scale 2871, Ian Ring Music Theory
3rd mode:
Scale 3483
Scale 3483, Ian Ring Music Theory
4th mode:
Scale 3789
Scale 3789, Ian Ring Music Theory
5th mode:
Scale 1971
Scale 1971, Ian Ring Music Theory
6th mode:
Scale 3033
Scale 3033, Ian Ring Music Theory
7th mode:
Scale 891
Scale 891, Ian Ring Music TheoryThis is the prime mode
8th mode:
Scale 2493
Scale 2493, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 891

Scale 891Scale 891, Ian Ring Music Theory

Negative

The octatonic modal family [1647, 2871, 3483, 3789, 1971, 3033, 891, 2493] is the negative of the tetratonic modal family [153, 531, 801, 2313]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1647 is 3789

Scale 3789Scale 3789, 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 1645Scale 1645: Dorian flat 5, Ian Ring Music TheoryDorian flat 5
Scale 1643Scale 1643: Locrian natural 6, Ian Ring Music TheoryLocrian natural 6
Scale 1639Scale 1639, Ian Ring Music Theory
Scale 1655Scale 1655, Ian Ring Music Theory
Scale 1663Scale 1663, Ian Ring Music Theory
Scale 1615Scale 1615, Ian Ring Music Theory
Scale 1631Scale 1631, Ian Ring Music Theory
Scale 1583Scale 1583, Ian Ring Music Theory
Scale 1711Scale 1711: Adonai Malakh, Ian Ring Music TheoryAdonai Malakh
Scale 1775Scale 1775, Ian Ring Music Theory
Scale 1903Scale 1903, Ian Ring Music Theory
Scale 1135Scale 1135, Ian Ring Music Theory
Scale 1391Scale 1391, Ian Ring Music Theory
Scale 623Scale 623, Ian Ring Music Theory
Scale 2671Scale 2671, Ian Ring Music Theory
Scale 3695Scale 3695, 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