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Scale 1755: "Octatonic"

Also known as: Messiaen mode 2, Dominant Diminished, Diminished Blues, Half-Whole step scale, second mode of limited transposition, auxiliary diminished blues, dominant

Scale 1755: Octatonic, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,3,4,6,7,9,10}
Forte Number8-28
Rotational Symmetry3, 6, 9 semitones
Palindromicno
Hemitonia4 (multihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes1
Prime?yes
Chiralityno
Deep Scaleno
Interval Vector448444
Interval Spectrump4m4n8s4d4t4
Distribution Spectra<1> = {1,2}
<2> = {3}
<3> = {4,5}
<4> = {6}
<5> = {7,8}
<6> = {9}
<7> = {10,11}
Spectra Variation0.5
Myhill Propertyno
Coherenceyes
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1755 can be rotated to make 1 other scales. The 1st mode is itself.

2nd mode:
Scale 2925
Scale 2925: Diminished, Ian Ring Music TheoryDiminished

Prime

This is the prime form of this scale.

Negative

The octatonic modal family [1755, 2925] is the negative of the tetratonic modal family [585]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1755 is 2925

Scale 2925Scale 2925: Diminished, Ian Ring Music TheoryDiminished

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 1753Scale 1753: Hungarian Major, Ian Ring Music TheoryHungarian Major
Scale 1757Scale 1757, Ian Ring Music Theory
Scale 1759Scale 1759, Ian Ring Music Theory
Scale 1747Scale 1747: Mela Ramapriya, Ian Ring Music TheoryMela Ramapriya
Scale 1751Scale 1751, Ian Ring Music Theory
Scale 1739Scale 1739: Mela Sadvidhamargini, Ian Ring Music TheoryMela Sadvidhamargini
Scale 1771Scale 1771, Ian Ring Music Theory
Scale 1787Scale 1787, Ian Ring Music Theory
Scale 1691Scale 1691, Ian Ring Music Theory
Scale 1723Scale 1723: JG Octatonic, Ian Ring Music TheoryJG Octatonic
Scale 1627Scale 1627, Ian Ring Music Theory
Scale 1883Scale 1883, Ian Ring Music Theory
Scale 2011Scale 2011, Ian Ring Music Theory
Scale 1243Scale 1243, Ian Ring Music Theory
Scale 1499Scale 1499: Bebop Locrian, Ian Ring Music TheoryBebop Locrian
Scale 731Scale 731, Ian Ring Music Theory
Scale 2779Scale 2779: Shostakovich, Ian Ring Music TheoryShostakovich
Scale 3803Scale 3803, 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