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Scale 3315: "Tcherepnin Octatonic mode 1"

Scale 3315: Tcherepnin Octatonic mode 1, Ian Ring Music Theory
ii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,4,5,6,7,10,11}
Forte Number8-9
Rotational Symmetry6 semitones
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes3
Prime?no
prime: 975
Chiralityno
Deep Scaleno
Interval Vector644464
Interval Spectrump6m4n4s4d6t4
Distribution Spectra<1> = {1,3}
<2> = {2,4}
<3> = {3,5}
<4> = {6}
<5> = {7,9}
<6> = {8,10}
<7> = {9,11}
Spectra Variation1.5
Myhill Propertyno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3315 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 3705
Scale 3705: Messiaen mode 4 inverse, Ian Ring Music TheoryMessiaen mode 4 inverse
3rd mode:
Scale 975
Scale 975: Messiaen mode 4, Ian Ring Music TheoryMessiaen mode 4This is the prime mode
4th mode:
Scale 2535
Scale 2535: Messiaen mode 4, Ian Ring Music TheoryMessiaen mode 4

Prime

The prime form of this scale is Scale 975

Scale 975Scale 975: Messiaen mode 4, Ian Ring Music TheoryMessiaen mode 4

Negative

The octatonic modal family [3315, 3705, 975, 2535] is the negative of the tetratonic modal family [195, 2145]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3315 is 2535

Scale 2535Scale 2535: Messiaen mode 4, Ian Ring Music TheoryMessiaen mode 4

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 3313Scale 3313, Ian Ring Music Theory
Scale 3317Scale 3317, Ian Ring Music Theory
Scale 3319Scale 3319, Ian Ring Music Theory
Scale 3323Scale 3323, Ian Ring Music Theory
Scale 3299Scale 3299, Ian Ring Music Theory
Scale 3307Scale 3307, Ian Ring Music Theory
Scale 3283Scale 3283: Mela Visvambhari, Ian Ring Music TheoryMela Visvambhari
Scale 3251Scale 3251: Mela Hatakambari, Ian Ring Music TheoryMela Hatakambari
Scale 3187Scale 3187, Ian Ring Music Theory
Scale 3443Scale 3443: Verdi's Scala enigmatica, Ian Ring Music TheoryVerdi's Scala enigmatica
Scale 3571Scale 3571, Ian Ring Music Theory
Scale 3827Scale 3827, Ian Ring Music Theory
Scale 2291Scale 2291, Ian Ring Music Theory
Scale 2803Scale 2803: Raga Bhatiyar, Ian Ring Music TheoryRaga Bhatiyar
Scale 1267Scale 1267, 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