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Scale 1965: "Raga Mukhari"

Scale 1965: Raga Mukhari, 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

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).

Common Names

Carnatic Raga
Raga Mukhari
Hindustani
Anandabhairavi
Unknown / Unsorted
Deshi
Manji
Gregorian Numbered
Gregorian Number 1
Western Mixed
Dorian/Aeolian Mixed
Zeitler
Gadyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,5,7,8,9,10}
Forte Number8-23
Rotational Symmetrynone
Reflection Axes2.5
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections1
Modes7
Prime?no
prime: 1455
Deep Scaleno
Interval Vector465472
Interval Spectrump7m4n5s6d4t2
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {5,6,7}
<5> = {7,8,9}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[5]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1965 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1515
Scale 1515: Phrygian/Locrian Mixed, Ian Ring Music TheoryPhrygian/Locrian Mixed
3rd mode:
Scale 2805
Scale 2805: Ishikotsucho, Ian Ring Music TheoryIshikotsucho
4th mode:
Scale 1725
Scale 1725: Minor Bebop, Ian Ring Music TheoryMinor Bebop
5th mode:
Scale 1455
Scale 1455: Phrygiolian, Ian Ring Music TheoryPhrygiolianThis is the prime mode
6th mode:
Scale 2775
Scale 2775: Godyllic, Ian Ring Music TheoryGodyllic
7th mode:
Scale 3435
Scale 3435: Prokofiev, Ian Ring Music TheoryProkofiev
8th mode:
Scale 3765
Scale 3765: Dominant Bebop, Ian Ring Music TheoryDominant Bebop

Prime

The prime form of this scale is Scale 1455

Scale 1455Scale 1455: Phrygiolian, Ian Ring Music TheoryPhrygiolian

Complement

The octatonic modal family [1965, 1515, 2805, 1725, 1455, 2775, 3435, 3765] (Forte: 8-23) is the complement of the tetratonic modal family [165, 645, 1065, 1185] (Forte: 4-23)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1965 is 1725

Scale 1725Scale 1725: Minor Bebop, Ian Ring Music TheoryMinor Bebop

Transformations:

T0 1965  T0I 1725
T1 3930  T1I 3450
T2 3765  T2I 2805
T3 3435  T3I 1515
T4 2775  T4I 3030
T5 1455  T5I 1965
T6 2910  T6I 3930
T7 1725  T7I 3765
T8 3450  T8I 3435
T9 2805  T9I 2775
T10 1515  T10I 1455
T11 3030  T11I 2910

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 1967Scale 1967: Diatonic Dorian Mixed, Ian Ring Music TheoryDiatonic Dorian Mixed
Scale 1961Scale 1961: Soptian, Ian Ring Music TheorySoptian
Scale 1963Scale 1963: Epocryllic, Ian Ring Music TheoryEpocryllic
Scale 1957Scale 1957: Pyrian, Ian Ring Music TheoryPyrian
Scale 1973Scale 1973: Zyryllic, Ian Ring Music TheoryZyryllic
Scale 1981Scale 1981: Houseini, Ian Ring Music TheoryHouseini
Scale 1933Scale 1933: Mocrian, Ian Ring Music TheoryMocrian
Scale 1949Scale 1949: Mathyllic, Ian Ring Music TheoryMathyllic
Scale 1997Scale 1997: Raga Cintamani, Ian Ring Music TheoryRaga Cintamani
Scale 2029Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi
Scale 1837Scale 1837: Dalian, Ian Ring Music TheoryDalian
Scale 1901Scale 1901: Ionidyllic, Ian Ring Music TheoryIonidyllic
Scale 1709Scale 1709: Dorian, Ian Ring Music TheoryDorian
Scale 1453Scale 1453: Aeolian, Ian Ring Music TheoryAeolian
Scale 941Scale 941: Mela Jhankaradhvani, Ian Ring Music TheoryMela Jhankaradhvani
Scale 2989Scale 2989: Bebop Minor, Ian Ring Music TheoryBebop Minor
Scale 4013Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu

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