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Scale 201

Scale 201, 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

Cardinality4 (tetratonic)
Pitch Class Set{0,3,6,7}
Forte Number4-18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 609
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 147
Deep Scaleno
Interval Vector102111
Interval Spectrumpmn2dt
Distribution Spectra<1> = {1,3,5}
<2> = {4,6,8}
<3> = {7,9,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 201 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 537
Scale 537, Ian Ring Music Theory
3rd mode:
Scale 579
Scale 579, Ian Ring Music Theory
4th mode:
Scale 2337
Scale 2337, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 147

Scale 147Scale 147, Ian Ring Music Theory

Complement

The tetratonic modal family [201, 537, 579, 2337] (Forte: 4-18) is the complement of the octatonic modal family [879, 1779, 1947, 2487, 2937, 3021, 3291, 3693] (Forte: 8-18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 201 is 609

Scale 609Scale 609, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 201 is chiral, and its enantiomorph is scale 609

Scale 609Scale 609, Ian Ring Music Theory

Transformations:

T0 201  T0I 609
T1 402  T1I 1218
T2 804  T2I 2436
T3 1608  T3I 777
T4 3216  T4I 1554
T5 2337  T5I 3108
T6 579  T6I 2121
T7 1158  T7I 147
T8 2316  T8I 294
T9 537  T9I 588
T10 1074  T10I 1176
T11 2148  T11I 2352

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 203Scale 203, Ian Ring Music Theory
Scale 205Scale 205, Ian Ring Music Theory
Scale 193Scale 193: Raga Ongkari, Ian Ring Music TheoryRaga Ongkari
Scale 197Scale 197, Ian Ring Music Theory
Scale 209Scale 209, Ian Ring Music Theory
Scale 217Scale 217, Ian Ring Music Theory
Scale 233Scale 233, Ian Ring Music Theory
Scale 137Scale 137: Ute Tritonic, Ian Ring Music TheoryUte Tritonic
Scale 169Scale 169: Vietnamese Tetratonic, Ian Ring Music TheoryVietnamese Tetratonic
Scale 73Scale 73, Ian Ring Music Theory
Scale 329Scale 329: Mynic, Ian Ring Music TheoryMynic
Scale 457Scale 457: Staptitonic, Ian Ring Music TheoryStaptitonic
Scale 713Scale 713: Thoptitonic, Ian Ring Music TheoryThoptitonic
Scale 1225Scale 1225: Raga Samudhra Priya, Ian Ring Music TheoryRaga Samudhra Priya
Scale 2249Scale 2249: Raga Multani, Ian Ring Music TheoryRaga Multani

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.