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Scale 1405

Scale 1405, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,2,3,4,5,6,8,10}
Forte Number8-21
Rotational Symmetrynone
Palindromicno
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 1375
Chiralityno
Deep Scaleno
Interval Vector474643
Interval Spectrump4m6n4s7d4t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation2
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1405 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1375
Scale 1375, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2735
Scale 2735, Ian Ring Music Theory
4th mode:
Scale 3415
Scale 3415, Ian Ring Music Theory
5th mode:
Scale 3755
Scale 3755, Ian Ring Music Theory
6th mode:
Scale 3925
Scale 3925, Ian Ring Music Theory
7th mode:
Scale 2005
Scale 2005, Ian Ring Music Theory
8th mode:
Scale 1525
Scale 1525, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 1375

Scale 1375Scale 1375, Ian Ring Music Theory

Negative

The octatonic modal family [1405, 1375, 2735, 3415, 3755, 3925, 2005, 1525] is the negative of the tetratonic modal family [85, 1045, 1285, 1345]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1405 is 2005

Scale 2005Scale 2005, 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 1407Scale 1407, Ian Ring Music Theory
Scale 1401Scale 1401, Ian Ring Music Theory
Scale 1403Scale 1403: Espla's scale, Ian Ring Music TheoryEspla's scale
Scale 1397Scale 1397: Major Locrian, Ian Ring Music TheoryMajor Locrian
Scale 1389Scale 1389: Minor Locrian, Ian Ring Music TheoryMinor Locrian
Scale 1373Scale 1373, Ian Ring Music Theory
Scale 1341Scale 1341, Ian Ring Music Theory
Scale 1469Scale 1469, Ian Ring Music Theory
Scale 1533Scale 1533, Ian Ring Music Theory
Scale 1149Scale 1149, Ian Ring Music Theory
Scale 1277Scale 1277, Ian Ring Music Theory
Scale 1661Scale 1661, Ian Ring Music Theory
Scale 1917Scale 1917, Ian Ring Music Theory
Scale 381Scale 381, Ian Ring Music Theory
Scale 893Scale 893, Ian Ring Music Theory
Scale 2429Scale 2429, Ian Ring Music Theory
Scale 3453Scale 3453, 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