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Scale 2273

Scale 2273, 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

Cardinality5 (pentatonic)
Pitch Class Set{0,5,6,7,11}
Forte Number5-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 227
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes4
Prime?no
prime: 199
Deep Scaleno
Interval Vector310132
Interval Spectrump3msd3t2
Distribution Spectra<1> = {1,4,5}
<2> = {2,5,6}
<3> = {6,7,10}
<4> = {7,8,11}
Spectra Variation3.2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2273 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 199
Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga NabhomaniThis is the prime mode
3rd mode:
Scale 2147
Scale 2147, Ian Ring Music Theory
4th mode:
Scale 3121
Scale 3121, Ian Ring Music Theory
5th mode:
Scale 451
Scale 451: Raga Saugandhini, Ian Ring Music TheoryRaga Saugandhini

Prime

The prime form of this scale is Scale 199

Scale 199Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga Nabhomani

Complement

The pentatonic modal family [2273, 199, 2147, 3121, 451] (Forte: 5-7) is the complement of the heptatonic modal family [463, 967, 2279, 2531, 3187, 3313, 3641] (Forte: 7-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2273 is 227

Scale 227Scale 227, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2273 is chiral, and its enantiomorph is scale 227

Scale 227Scale 227, Ian Ring Music Theory

Transformations:

T0 2273  T0I 227
T1 451  T1I 454
T2 902  T2I 908
T3 1804  T3I 1816
T4 3608  T4I 3632
T5 3121  T5I 3169
T6 2147  T6I 2243
T7 199  T7I 391
T8 398  T8I 782
T9 796  T9I 1564
T10 1592  T10I 3128
T11 3184  T11I 2161

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 2275Scale 2275: Messiaen Mode 5, Ian Ring Music TheoryMessiaen Mode 5
Scale 2277Scale 2277: Kagimic, Ian Ring Music TheoryKagimic
Scale 2281Scale 2281: Rathimic, Ian Ring Music TheoryRathimic
Scale 2289Scale 2289: Mocrimic, Ian Ring Music TheoryMocrimic
Scale 2241Scale 2241, Ian Ring Music Theory
Scale 2257Scale 2257: Lydian Pentatonic, Ian Ring Music TheoryLydian Pentatonic
Scale 2209Scale 2209, Ian Ring Music Theory
Scale 2145Scale 2145: Messiaen Truncated Mode 5 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 5 Inverse
Scale 2401Scale 2401, Ian Ring Music Theory
Scale 2529Scale 2529, Ian Ring Music Theory
Scale 2785Scale 2785, Ian Ring Music Theory
Scale 3297Scale 3297, Ian Ring Music Theory
Scale 225Scale 225, Ian Ring Music Theory
Scale 1249Scale 1249, 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.