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Scale 1457: "Raga Kamalamanohari"

Scale 1457: Raga Kamalamanohari, 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 Kamalamanohari
Zeitler
Modimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,4,5,7,8,10}
Forte Number6-Z24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 437
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 347
Deep Scaleno
Interval Vector233331
Interval Spectrump3m3n3s3d2t
Distribution Spectra<1> = {1,2,4}
<2> = {3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9}
<5> = {8,10,11}
Spectra Variation2.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1457 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 347
Scale 347: Barimic, Ian Ring Music TheoryBarimicThis is the prime mode
3rd mode:
Scale 2221
Scale 2221: Raga Sindhura Kafi, Ian Ring Music TheoryRaga Sindhura Kafi
4th mode:
Scale 1579
Scale 1579: Sagimic, Ian Ring Music TheorySagimic
5th mode:
Scale 2837
Scale 2837: Aelothimic, Ian Ring Music TheoryAelothimic
6th mode:
Scale 1733
Scale 1733: Raga Sarasvati, Ian Ring Music TheoryRaga Sarasvati

Prime

The prime form of this scale is Scale 347

Scale 347Scale 347: Barimic, Ian Ring Music TheoryBarimic

Complement

The hexatonic modal family [1457, 347, 2221, 1579, 2837, 1733] (Forte: 6-Z24) is the complement of the hexatonic modal family [599, 697, 1481, 1829, 2347, 3221] (Forte: 6-Z46)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1457 is 437

Scale 437Scale 437: Ronimic, Ian Ring Music TheoryRonimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1457 is chiral, and its enantiomorph is scale 437

Scale 437Scale 437: Ronimic, Ian Ring Music TheoryRonimic

Transformations:

T0 1457  T0I 437
T1 2914  T1I 874
T2 1733  T2I 1748
T3 3466  T3I 3496
T4 2837  T4I 2897
T5 1579  T5I 1699
T6 3158  T6I 3398
T7 2221  T7I 2701
T8 347  T8I 1307
T9 694  T9I 2614
T10 1388  T10I 1133
T11 2776  T11I 2266

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 1459Scale 1459: Phrygian Dominant, Ian Ring Music TheoryPhrygian Dominant
Scale 1461Scale 1461: Major-Minor, Ian Ring Music TheoryMajor-Minor
Scale 1465Scale 1465: Mela Ragavardhani, Ian Ring Music TheoryMela Ragavardhani
Scale 1441Scale 1441, Ian Ring Music Theory
Scale 1449Scale 1449: Raga Gopikavasantam, Ian Ring Music TheoryRaga Gopikavasantam
Scale 1425Scale 1425: Ryphitonic, Ian Ring Music TheoryRyphitonic
Scale 1489Scale 1489: Raga Jyoti, Ian Ring Music TheoryRaga Jyoti
Scale 1521Scale 1521: Stanian, Ian Ring Music TheoryStanian
Scale 1329Scale 1329: Epygitonic, Ian Ring Music TheoryEpygitonic
Scale 1393Scale 1393: Mycrimic, Ian Ring Music TheoryMycrimic
Scale 1201Scale 1201: Mixolydian Pentatonic, Ian Ring Music TheoryMixolydian Pentatonic
Scale 1713Scale 1713: Raga Khamas, Ian Ring Music TheoryRaga Khamas
Scale 1969Scale 1969: Stylian, Ian Ring Music TheoryStylian
Scale 433Scale 433: Raga Zilaf, Ian Ring Music TheoryRaga Zilaf
Scale 945Scale 945: Raga Saravati, Ian Ring Music TheoryRaga Saravati
Scale 2481Scale 2481: Raga Paraju, Ian Ring Music TheoryRaga Paraju
Scale 3505Scale 3505: Stygian, Ian Ring Music TheoryStygian

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.