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Scale 3771

Scale 3771, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,3,4,5,7,9,10,11}
Forte Number9-8
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 1503
Chiralityyes
enantiomorph: 2991
Deep Scaleno
Interval Vector676764
Interval Spectrump6m7n6s7d6t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.556
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3771 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3933
Scale 3933, Ian Ring Music Theory
3rd mode:
Scale 2007
Scale 2007, Ian Ring Music Theory
4th mode:
Scale 3051
Scale 3051, Ian Ring Music Theory
5th mode:
Scale 3573
Scale 3573, Ian Ring Music Theory
6th mode:
Scale 1917
Scale 1917, Ian Ring Music Theory
7th mode:
Scale 1503
Scale 1503, Ian Ring Music TheoryThis is the prime mode
8th mode:
Scale 2799
Scale 2799, Ian Ring Music Theory
9th mode:
Scale 3447
Scale 3447, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 1503

Scale 1503Scale 1503, Ian Ring Music Theory

Negative

The nonatonic modal family [3771, 3933, 2007, 3051, 3573, 1917, 1503, 2799, 3447] is the negative of the tritonic modal family [69, 321, 1041]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3771 is 2991

Scale 2991Scale 2991, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3771 is chiral, and its enantiomorph is scale 2991

Scale 2991Scale 2991, 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 3769Scale 3769, Ian Ring Music Theory
Scale 3773Scale 3773: Raga Malgunji, Ian Ring Music TheoryRaga Malgunji
Scale 3775Scale 3775, Ian Ring Music Theory
Scale 3763Scale 3763, Ian Ring Music Theory
Scale 3767Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
Scale 3755Scale 3755, Ian Ring Music Theory
Scale 3739Scale 3739, Ian Ring Music Theory
Scale 3803Scale 3803, Ian Ring Music Theory
Scale 3835Scale 3835, Ian Ring Music Theory
Scale 3643Scale 3643, Ian Ring Music Theory
Scale 3707Scale 3707, Ian Ring Music Theory
Scale 3899Scale 3899, Ian Ring Music Theory
Scale 4027Scale 4027, Ian Ring Music Theory
Scale 3259Scale 3259, Ian Ring Music Theory
Scale 3515Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
Scale 2747Scale 2747, Ian Ring Music Theory
Scale 1723Scale 1723: JG Octatonic, Ian Ring Music TheoryJG Octatonic

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