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Scale 1821

Scale 1821, Ian Ring Music Theory

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,2,3,4,8,9,10}
Forte Number7-15
Rotational Symmetrynone
Palindromicyes
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 471
Chiralityno
Deep Scaleno
Interval Vector442443
Interval Spectrump4m4n2s4d4t3
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {8,10,11}
Spectra Variation2.286
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1821 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1479
Scale 1479: Mela Jalarnava, Ian Ring Music TheoryMela Jalarnava
3rd mode:
Scale 2787
Scale 2787, Ian Ring Music Theory
4th mode:
Scale 3441
Scale 3441, Ian Ring Music Theory
5th mode:
Scale 471
Scale 471, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2283
Scale 2283, Ian Ring Music Theory
7th mode:
Scale 3189
Scale 3189, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 471

Scale 471Scale 471, Ian Ring Music Theory

Negative

The heptatonic modal family [1821, 1479, 2787, 3441, 471, 2283, 3189] is the negative of the pentatonic modal family [327, 453, 1137, 2211, 3153]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1821 is itself, because it is a palindromic scale!

Scale 1821Scale 1821, 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 1823Scale 1823, Ian Ring Music Theory
Scale 1817Scale 1817, Ian Ring Music Theory
Scale 1819Scale 1819, Ian Ring Music Theory
Scale 1813Scale 1813, Ian Ring Music Theory
Scale 1805Scale 1805, Ian Ring Music Theory
Scale 1837Scale 1837, Ian Ring Music Theory
Scale 1853Scale 1853, Ian Ring Music Theory
Scale 1885Scale 1885, Ian Ring Music Theory
Scale 1949Scale 1949, Ian Ring Music Theory
Scale 1565Scale 1565, Ian Ring Music Theory
Scale 1693Scale 1693, Ian Ring Music Theory
Scale 1309Scale 1309, Ian Ring Music Theory
Scale 797Scale 797, Ian Ring Music Theory
Scale 2845Scale 2845, Ian Ring Music Theory
Scale 3869Scale 3869, 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