Back to all scales
The Exciting Universe Of Music Theory

presents more than you ever wanted to know about...

Scale 3947

Scale 3947, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,3,5,6,8,9,10,11}
Forte Number9-7
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1471
Chiralityyes
enantiomorph: 2783
Deep Scaleno
Interval Vector677673
Interval Spectrump7m6n7s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.778
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3947 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 4021
Scale 4021: Raga Pahadi, Ian Ring Music TheoryRaga Pahadi
3rd mode:
Scale 2029
Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi
4th mode:
Scale 1531
Scale 1531, Ian Ring Music Theory
5th mode:
Scale 2813
Scale 2813, Ian Ring Music Theory
6th mode:
Scale 1727
Scale 1727, Ian Ring Music Theory
7th mode:
Scale 2911
Scale 2911, Ian Ring Music Theory
8th mode:
Scale 3503
Scale 3503, Ian Ring Music Theory
9th mode:
Scale 3799
Scale 3799, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 1471

Scale 1471Scale 1471, Ian Ring Music Theory

Negative

The nonatonic modal family [3947, 4021, 2029, 1531, 2813, 1727, 2911, 3503, 3799] is the negative of the tritonic modal family [37, 641, 1033]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3947 is 2783

Scale 2783Scale 2783, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3947 is chiral, and its enantiomorph is scale 2783

Scale 2783Scale 2783, 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 3945Scale 3945, Ian Ring Music Theory
Scale 3949Scale 3949, Ian Ring Music Theory
Scale 3951Scale 3951, Ian Ring Music Theory
Scale 3939Scale 3939, Ian Ring Music Theory
Scale 3943Scale 3943, Ian Ring Music Theory
Scale 3955Scale 3955, Ian Ring Music Theory
Scale 3963Scale 3963, Ian Ring Music Theory
Scale 3915Scale 3915, Ian Ring Music Theory
Scale 3931Scale 3931, Ian Ring Music Theory
Scale 3883Scale 3883, Ian Ring Music Theory
Scale 4011Scale 4011, Ian Ring Music Theory
Scale 4075Scale 4075, Ian Ring Music Theory
Scale 3691Scale 3691, Ian Ring Music Theory
Scale 3819Scale 3819, Ian Ring Music Theory
Scale 3435Scale 3435: Prokofiev, Ian Ring Music TheoryProkofiev
Scale 2923Scale 2923, Ian Ring Music Theory
Scale 1899Scale 1899, 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