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Scale 2265: "Raga Rasamanjari"

Scale 2265: Raga Rasamanjari, 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 Rasamanjari
Zeitler
Ionophimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,6,7,11}
Forte Number6-Z19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 867
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 411
Deep Scaleno
Interval Vector313431
Interval Spectrump3m4n3sd3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5}
<3> = {4,5,6,7,8}
<4> = {7,8,9}
<5> = {8,9,10,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.116
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2265 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 795
Scale 795: Aeologimic, Ian Ring Music TheoryAeologimic
3rd mode:
Scale 2445
Scale 2445: Zadimic, Ian Ring Music TheoryZadimic
4th mode:
Scale 1635
Scale 1635: Sygimic, Ian Ring Music TheorySygimic
5th mode:
Scale 2865
Scale 2865: Solimic, Ian Ring Music TheorySolimic
6th mode:
Scale 435
Scale 435: Raga Purna Pancama, Ian Ring Music TheoryRaga Purna Pancama

Prime

The prime form of this scale is Scale 411

Scale 411Scale 411: Lygimic, Ian Ring Music TheoryLygimic

Complement

The hexatonic modal family [2265, 795, 2445, 1635, 2865, 435] (Forte: 6-Z19) is the complement of the hexatonic modal family [615, 825, 915, 2355, 2505, 3225] (Forte: 6-Z44)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2265 is 867

Scale 867Scale 867: Phrocrimic, Ian Ring Music TheoryPhrocrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2265 is chiral, and its enantiomorph is scale 867

Scale 867Scale 867: Phrocrimic, Ian Ring Music TheoryPhrocrimic

Transformations:

T0 2265  T0I 867
T1 435  T1I 1734
T2 870  T2I 3468
T3 1740  T3I 2841
T4 3480  T4I 1587
T5 2865  T5I 3174
T6 1635  T6I 2253
T7 3270  T7I 411
T8 2445  T8I 822
T9 795  T9I 1644
T10 1590  T10I 3288
T11 3180  T11I 2481

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 2267Scale 2267: Padian, Ian Ring Music TheoryPadian
Scale 2269Scale 2269: Pygian, Ian Ring Music TheoryPygian
Scale 2257Scale 2257: Lydian Pentatonic, Ian Ring Music TheoryLydian Pentatonic
Scale 2261Scale 2261: Raga Caturangini, Ian Ring Music TheoryRaga Caturangini
Scale 2249Scale 2249: Raga Multani, Ian Ring Music TheoryRaga Multani
Scale 2281Scale 2281: Rathimic, Ian Ring Music TheoryRathimic
Scale 2297Scale 2297: Thylian, Ian Ring Music TheoryThylian
Scale 2201Scale 2201: Ionagitonic, Ian Ring Music TheoryIonagitonic
Scale 2233Scale 2233: Donimic, Ian Ring Music TheoryDonimic
Scale 2137Scale 2137, Ian Ring Music Theory
Scale 2393Scale 2393: Zathimic, Ian Ring Music TheoryZathimic
Scale 2521Scale 2521: Mela Dhatuvardhani, Ian Ring Music TheoryMela Dhatuvardhani
Scale 2777Scale 2777: Aeolian Harmonic, Ian Ring Music TheoryAeolian Harmonic
Scale 3289Scale 3289: Lydian Sharp 2 Sharp 6, Ian Ring Music TheoryLydian Sharp 2 Sharp 6
Scale 217Scale 217, Ian Ring Music Theory
Scale 1241Scale 1241: Pygimic, Ian Ring Music TheoryPygimic

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.