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Scale 1445: "Raga Navamanohari"

Scale 1445: Raga Navamanohari, 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 Navamanohari
Zeitler
Byptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,5,7,8,10}
Forte Number6-33
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1205
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes5
Prime?no
prime: 685
Deep Scaleno
Interval Vector143241
Interval Spectrump4m2n3s4dt
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {5,6,7}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1445 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1385
Scale 1385: Phracrimic, Ian Ring Music TheoryPhracrimic
3rd mode:
Scale 685
Scale 685: Raga Suddha Bangala, Ian Ring Music TheoryRaga Suddha BangalaThis is the prime mode
4th mode:
Scale 1195
Scale 1195: Raga Gandharavam, Ian Ring Music TheoryRaga Gandharavam
5th mode:
Scale 2645
Scale 2645: Raga Mruganandana, Ian Ring Music TheoryRaga Mruganandana
6th mode:
Scale 1685
Scale 1685: Zeracrimic, Ian Ring Music TheoryZeracrimic

Prime

The prime form of this scale is Scale 685

Scale 685Scale 685: Raga Suddha Bangala, Ian Ring Music TheoryRaga Suddha Bangala

Complement

The hexatonic modal family [1445, 1385, 685, 1195, 2645, 1685] (Forte: 6-33) is the complement of the hexatonic modal family [685, 1195, 1385, 1445, 1685, 2645] (Forte: 6-33)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1445 is 1205

Scale 1205Scale 1205: Raga Siva Kambhoji, Ian Ring Music TheoryRaga Siva Kambhoji

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1445 is chiral, and its enantiomorph is scale 1205

Scale 1205Scale 1205: Raga Siva Kambhoji, Ian Ring Music TheoryRaga Siva Kambhoji

Transformations:

T0 1445  T0I 1205
T1 2890  T1I 2410
T2 1685  T2I 725
T3 3370  T3I 1450
T4 2645  T4I 2900
T5 1195  T5I 1705
T6 2390  T6I 3410
T7 685  T7I 2725
T8 1370  T8I 1355
T9 2740  T9I 2710
T10 1385  T10I 1325
T11 2770  T11I 2650

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 1447Scale 1447: Mela Ratnangi, Ian Ring Music TheoryMela Ratnangi
Scale 1441Scale 1441, Ian Ring Music Theory
Scale 1443Scale 1443: Raga Phenadyuti, Ian Ring Music TheoryRaga Phenadyuti
Scale 1449Scale 1449: Raga Gopikavasantam, Ian Ring Music TheoryRaga Gopikavasantam
Scale 1453Scale 1453: Aeolian, Ian Ring Music TheoryAeolian
Scale 1461Scale 1461: Major-Minor, Ian Ring Music TheoryMajor-Minor
Scale 1413Scale 1413, Ian Ring Music Theory
Scale 1429Scale 1429: Bythimic, Ian Ring Music TheoryBythimic
Scale 1477Scale 1477: Raga Jaganmohanam, Ian Ring Music TheoryRaga Jaganmohanam
Scale 1509Scale 1509: Ragian, Ian Ring Music TheoryRagian
Scale 1317Scale 1317: Chaio, Ian Ring Music TheoryChaio
Scale 1381Scale 1381: Padimic, Ian Ring Music TheoryPadimic
Scale 1189Scale 1189: Suspended Pentatonic, Ian Ring Music TheorySuspended Pentatonic
Scale 1701Scale 1701: Dominant Seventh, Ian Ring Music TheoryDominant Seventh
Scale 1957Scale 1957: Pyrian, Ian Ring Music TheoryPyrian
Scale 421Scale 421: Han-kumoi, Ian Ring Music TheoryHan-kumoi
Scale 933Scale 933: Dadimic, Ian Ring Music TheoryDadimic
Scale 2469Scale 2469: Raga Bhinna Pancama, Ian Ring Music TheoryRaga Bhinna Pancama
Scale 3493Scale 3493: Rathian, Ian Ring Music TheoryRathian

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