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Scale 3973

Scale 3973, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

41161837294116105072918310504116183
Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,7,8,9,10,11}
Forte Number7-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1087
Hemitonia5 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 191
Deep Scaleno
Interval Vector554331
Interval Spectrump3m3n4s5d5t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {3,4,7,8}
<4> = {4,5,8,9}
<5> = {5,6,9,10}
<6> = {7,10,11}
Spectra Variation4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3973 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2017
Scale 2017, Ian Ring Music Theory
3rd mode:
Scale 191
Scale 191, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2143
Scale 2143, Ian Ring Music Theory
5th mode:
Scale 3119
Scale 3119, Ian Ring Music Theory
6th mode:
Scale 3607
Scale 3607, Ian Ring Music Theory
7th mode:
Scale 3851
Scale 3851, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 191

Scale 191Scale 191, Ian Ring Music Theory

Complement

The heptatonic modal family [3973, 2017, 191, 2143, 3119, 3607, 3851] (Forte: 7-2) is the complement of the pentatonic modal family [47, 1921, 2071, 3083, 3589] (Forte: 5-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3973 is 1087

Scale 1087Scale 1087, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3973 is chiral, and its enantiomorph is scale 1087

Scale 1087Scale 1087, Ian Ring Music Theory

Transformations:

T0 3973  T0I 1087
T1 3851  T1I 2174
T2 3607  T2I 253
T3 3119  T3I 506
T4 2143  T4I 1012
T5 191  T5I 2024
T6 382  T6I 4048
T7 764  T7I 4001
T8 1528  T8I 3907
T9 3056  T9I 3719
T10 2017  T10I 3343
T11 4034  T11I 2591

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 3975Scale 3975, Ian Ring Music Theory
Scale 3969Scale 3969, Ian Ring Music Theory
Scale 3971Scale 3971, Ian Ring Music Theory
Scale 3977Scale 3977: Kythian, Ian Ring Music TheoryKythian
Scale 3981Scale 3981: Phrycryllic, Ian Ring Music TheoryPhrycryllic
Scale 3989Scale 3989: Sythyllic, Ian Ring Music TheorySythyllic
Scale 4005Scale 4005, Ian Ring Music Theory
Scale 4037Scale 4037: Ionyllic, Ian Ring Music TheoryIonyllic
Scale 3845Scale 3845, Ian Ring Music Theory
Scale 3909Scale 3909: Rydian, Ian Ring Music TheoryRydian
Scale 3717Scale 3717, Ian Ring Music Theory
Scale 3461Scale 3461, Ian Ring Music Theory
Scale 2949Scale 2949, Ian Ring Music Theory
Scale 1925Scale 1925, 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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.