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Scale 3761: "Raga Madhuri"

Scale 3761: Raga Madhuri, 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).

Common Names

Carnatic Raga
Raga Madhuri
Zeitler
Ionythian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,4,5,7,9,10,11}
Forte Number7-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 431
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes6
Prime?no
prime: 431
Deep Scaleno
Interval Vector443352
Interval Spectrump5m3n3s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {8,10,11}
Spectra Variation2.857
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3761 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 491
Scale 491: Aeolyrian, Ian Ring Music TheoryAeolyrian
3rd mode:
Scale 2293
Scale 2293: Gorian, Ian Ring Music TheoryGorian
4th mode:
Scale 1597
Scale 1597: Aeolodian, Ian Ring Music TheoryAeolodian
5th mode:
Scale 1423
Scale 1423: Doptian, Ian Ring Music TheoryDoptian
6th mode:
Scale 2759
Scale 2759: Mela Pavani, Ian Ring Music TheoryMela Pavani
7th mode:
Scale 3427
Scale 3427: Zacrian, Ian Ring Music TheoryZacrian

Prime

The prime form of this scale is Scale 431

Scale 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian

Complement

The heptatonic modal family [3761, 491, 2293, 1597, 1423, 2759, 3427] (Forte: 7-14) is the complement of the pentatonic modal family [167, 901, 1249, 2131, 3113] (Forte: 5-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3761 is 431

Scale 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3761 is chiral, and its enantiomorph is scale 431

Scale 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian

Transformations:

T0 3761  T0I 431
T1 3427  T1I 862
T2 2759  T2I 1724
T3 1423  T3I 3448
T4 2846  T4I 2801
T5 1597  T5I 1507
T6 3194  T6I 3014
T7 2293  T7I 1933
T8 491  T8I 3866
T9 982  T9I 3637
T10 1964  T10I 3179
T11 3928  T11I 2263

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 3763Scale 3763: Modyllic, Ian Ring Music TheoryModyllic
Scale 3765Scale 3765: Dominant Bebop, Ian Ring Music TheoryDominant Bebop
Scale 3769Scale 3769: Eponyllic, Ian Ring Music TheoryEponyllic
Scale 3745Scale 3745, Ian Ring Music Theory
Scale 3753Scale 3753: Phraptian, Ian Ring Music TheoryPhraptian
Scale 3729Scale 3729: Starimic, Ian Ring Music TheoryStarimic
Scale 3793Scale 3793: Aeopian, Ian Ring Music TheoryAeopian
Scale 3825Scale 3825: Pynyllic, Ian Ring Music TheoryPynyllic
Scale 3633Scale 3633: Daptimic, Ian Ring Music TheoryDaptimic
Scale 3697Scale 3697: Ionarian, Ian Ring Music TheoryIonarian
Scale 3889Scale 3889: Parian, Ian Ring Music TheoryParian
Scale 4017Scale 4017: Dolyllic, Ian Ring Music TheoryDolyllic
Scale 3249Scale 3249: Raga Tilang, Ian Ring Music TheoryRaga Tilang
Scale 3505Scale 3505: Stygian, Ian Ring Music TheoryStygian
Scale 2737Scale 2737: Raga Hari Nata, Ian Ring Music TheoryRaga Hari Nata
Scale 1713Scale 1713: Raga Khamas, Ian Ring Music TheoryRaga Khamas

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.