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Scale 4017

Scale 4017, Ian Ring Music Theory

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,4,5,7,8,9,10,11}
Forte Number8-4
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 447
Chiralityyes
enantiomorph: 447
Deep Scaleno
Interval Vector655552
Interval Spectrump5m5n5s5d6t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {3,4,6,7}
<4> = {4,5,7,8}
<5> = {5,6,8,9}
<6> = {7,9,10}
<7> = {8,10,11}
Spectra Variation3
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4017 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 507
Scale 507, Ian Ring Music Theory
3rd mode:
Scale 2301
Scale 2301, Ian Ring Music Theory
4th mode:
Scale 1599
Scale 1599, Ian Ring Music Theory
5th mode:
Scale 2847
Scale 2847, Ian Ring Music Theory
6th mode:
Scale 3471
Scale 3471, Ian Ring Music Theory
7th mode:
Scale 3783
Scale 3783, Ian Ring Music Theory
8th mode:
Scale 3939
Scale 3939, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 447

Scale 447Scale 447, Ian Ring Music Theory

Negative

The octatonic modal family [4017, 507, 2301, 1599, 2847, 3471, 3783, 3939] is the negative of the tetratonic modal family [39, 897, 2067, 3081]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4017 is 447

Scale 447Scale 447, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 4017 is chiral, and its enantiomorph is scale 447

Scale 447Scale 447, 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 4019Scale 4019, Ian Ring Music Theory
Scale 4021Scale 4021: Raga Pahadi, Ian Ring Music TheoryRaga Pahadi
Scale 4025Scale 4025, Ian Ring Music Theory
Scale 4001Scale 4001, Ian Ring Music Theory
Scale 4009Scale 4009, Ian Ring Music Theory
Scale 3985Scale 3985, Ian Ring Music Theory
Scale 4049Scale 4049, Ian Ring Music Theory
Scale 4081Scale 4081, Ian Ring Music Theory
Scale 3889Scale 3889, Ian Ring Music Theory
Scale 3953Scale 3953, Ian Ring Music Theory
Scale 3761Scale 3761: Raga Madhuri, Ian Ring Music TheoryRaga Madhuri
Scale 3505Scale 3505, Ian Ring Music Theory
Scale 2993Scale 2993, Ian Ring Music Theory
Scale 1969Scale 1969, 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