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Scale 1787

Scale 1787, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,3,4,5,6,7,9,10}
Forte Number9-10
Rotational Symmetrynone
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
prime: 1759
Deep Scaleno
Interval Vector668664
Interval Spectrump6m6n8s6d6t4
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {9,10}
<8> = {10,11}
Spectra Variation1.333
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 1787 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2941
Scale 2941, Ian Ring Music Theory
3rd mode:
Scale 1759
Scale 1759, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2927
Scale 2927, Ian Ring Music Theory
5th mode:
Scale 3511
Scale 3511, Ian Ring Music Theory
6th mode:
Scale 3803
Scale 3803, Ian Ring Music Theory
7th mode:
Scale 3949
Scale 3949, Ian Ring Music Theory
8th mode:
Scale 2011
Scale 2011, Ian Ring Music Theory
9th mode:
Scale 3053
Scale 3053, Ian Ring Music Theory


The prime form of this scale is Scale 1759

Scale 1759Scale 1759, Ian Ring Music Theory


The nonatonic modal family [1787, 2941, 1759, 2927, 3511, 3803, 3949, 2011, 3053] is the negative of the tritonic modal family [73, 521, 577]


The inverse of a scale is a reflection using the root as its axis. The inverse of 1787 is 3053

Scale 3053Scale 3053, 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 1785Scale 1785, Ian Ring Music Theory
Scale 1789Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II
Scale 1791Scale 1791, Ian Ring Music Theory
Scale 1779Scale 1779, Ian Ring Music Theory
Scale 1783Scale 1783: Youlan scale, Ian Ring Music TheoryYoulan scale
Scale 1771Scale 1771, Ian Ring Music Theory
Scale 1755Scale 1755: Octatonic, Ian Ring Music TheoryOctatonic
Scale 1723Scale 1723: JG Octatonic, Ian Ring Music TheoryJG Octatonic
Scale 1659Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban
Scale 1915Scale 1915, Ian Ring Music Theory
Scale 2043Scale 2043: Maqam Tarzanuyn, Ian Ring Music TheoryMaqam Tarzanuyn
Scale 1275Scale 1275, Ian Ring Music Theory
Scale 1531Scale 1531, Ian Ring Music Theory
Scale 763Scale 763, Ian Ring Music Theory
Scale 2811Scale 2811, Ian Ring Music Theory
Scale 3835Scale 3835, 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