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Scale 197

Scale 197, 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.

Tonnetz Diagram

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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

Cardinality4 (tetratonic)
Pitch Class Set{0,2,6,7}
Forte Number4-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1121
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes3
Prime?no
prime: 163
Deep Scaleno
Interval Vector110121
Interval Spectrump2msdt
Distribution Spectra<1> = {1,2,4,5}
<2> = {5,6,7}
<3> = {7,8,10,11}
Spectra Variation2.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 197 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1073
Scale 1073, Ian Ring Music Theory
3rd mode:
Scale 323
Scale 323, Ian Ring Music Theory
4th mode:
Scale 2209
Scale 2209, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 163

Scale 163Scale 163, Ian Ring Music Theory

Complement

The tetratonic modal family [197, 1073, 323, 2209] (Forte: 4-16) is the complement of the octatonic modal family [943, 1511, 1949, 2519, 2803, 3307, 3449, 3701] (Forte: 8-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 197 is 1121

Scale 1121Scale 1121, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 197 is chiral, and its enantiomorph is scale 1121

Scale 1121Scale 1121, Ian Ring Music Theory

Transformations:

T0 197  T0I 1121
T1 394  T1I 2242
T2 788  T2I 389
T3 1576  T3I 778
T4 3152  T4I 1556
T5 2209  T5I 3112
T6 323  T6I 2129
T7 646  T7I 163
T8 1292  T8I 326
T9 2584  T9I 652
T10 1073  T10I 1304
T11 2146  T11I 2608

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 199Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga Nabhomani
Scale 193Scale 193: Raga Ongkari, Ian Ring Music TheoryRaga Ongkari
Scale 195Scale 195: Messiaen Truncated Mode 5, Ian Ring Music TheoryMessiaen Truncated Mode 5
Scale 201Scale 201, Ian Ring Music Theory
Scale 205Scale 205, Ian Ring Music Theory
Scale 213Scale 213, Ian Ring Music Theory
Scale 229Scale 229, Ian Ring Music Theory
Scale 133Scale 133, Ian Ring Music Theory
Scale 165Scale 165: Genus Primum, Ian Ring Music TheoryGenus Primum
Scale 69Scale 69, Ian Ring Music Theory
Scale 325Scale 325: Messiaen Truncated Mode 6, Ian Ring Music TheoryMessiaen Truncated Mode 6
Scale 453Scale 453: Raditonic, Ian Ring Music TheoryRaditonic
Scale 709Scale 709: Raga Shri Kalyan, Ian Ring Music TheoryRaga Shri Kalyan
Scale 1221Scale 1221: Epyritonic, Ian Ring Music TheoryEpyritonic
Scale 2245Scale 2245: Raga Vaijayanti, Ian Ring Music TheoryRaga Vaijayanti

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. Bibliography