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Scale 689: "Raga Nagasvaravali"

Scale 689: Raga Nagasvaravali, 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

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 Nagasvaravali
Raga Mand


Cardinality5 (pentatonic)
Pitch Class Set{0,4,5,7,9}
Forte Number5-27
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 425
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
prime: 299
Deep Scaleno
Interval Vector122230
Interval Spectrump3m2n2s2d
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5,7}
<3> = {5,7,8,9}
<4> = {8,9,10,11}
Spectra Variation2.8
Maximally Evenno
Maximal Area Setno
Interior Area2.049
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 689 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 299
Scale 299: Raga Chitthakarshini, Ian Ring Music TheoryRaga ChitthakarshiniThis is the prime mode
3rd mode:
Scale 2197
Scale 2197: Raga Hamsadhvani, Ian Ring Music TheoryRaga Hamsadhvani
4th mode:
Scale 1573
Scale 1573: Raga Guhamanohari, Ian Ring Music TheoryRaga Guhamanohari
5th mode:
Scale 1417
Scale 1417: Raga Shailaja, Ian Ring Music TheoryRaga Shailaja


The prime form of this scale is Scale 299

Scale 299Scale 299: Raga Chitthakarshini, Ian Ring Music TheoryRaga Chitthakarshini


The pentatonic modal family [689, 299, 2197, 1573, 1417] (Forte: 5-27) is the complement of the heptatonic modal family [695, 1465, 1765, 1835, 2395, 2965, 3245] (Forte: 7-27)


The inverse of a scale is a reflection using the root as its axis. The inverse of 689 is 425

Scale 425Scale 425: Raga Kokil Pancham, Ian Ring Music TheoryRaga Kokil Pancham


Only scales that are chiral will have an enantiomorph. Scale 689 is chiral, and its enantiomorph is scale 425

Scale 425Scale 425: Raga Kokil Pancham, Ian Ring Music TheoryRaga Kokil Pancham


T0 689  T0I 425
T1 1378  T1I 850
T2 2756  T2I 1700
T3 1417  T3I 3400
T4 2834  T4I 2705
T5 1573  T5I 1315
T6 3146  T6I 2630
T7 2197  T7I 1165
T8 299  T8I 2330
T9 598  T9I 565
T10 1196  T10I 1130
T11 2392  T11I 2260

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 691Scale 691: Raga Kalavati, Ian Ring Music TheoryRaga Kalavati
Scale 693Scale 693: Arezzo Major Diatonic Hexachord, Ian Ring Music TheoryArezzo Major Diatonic Hexachord
Scale 697Scale 697: Lagimic, Ian Ring Music TheoryLagimic
Scale 673Scale 673, Ian Ring Music Theory
Scale 681Scale 681: Kyemyonjo, Ian Ring Music TheoryKyemyonjo
Scale 657Scale 657: Epathic, Ian Ring Music TheoryEpathic
Scale 721Scale 721: Raga Dhavalashri, Ian Ring Music TheoryRaga Dhavalashri
Scale 753Scale 753: Aeronimic, Ian Ring Music TheoryAeronimic
Scale 561Scale 561: Phratic, Ian Ring Music TheoryPhratic
Scale 625Scale 625: Ionyptitonic, Ian Ring Music TheoryIonyptitonic
Scale 817Scale 817: Zothitonic, Ian Ring Music TheoryZothitonic
Scale 945Scale 945: Raga Saravati, Ian Ring Music TheoryRaga Saravati
Scale 177Scale 177, Ian Ring Music Theory
Scale 433Scale 433: Raga Zilaf, Ian Ring Music TheoryRaga Zilaf
Scale 1201Scale 1201: Mixolydian Pentatonic, Ian Ring Music TheoryMixolydian Pentatonic
Scale 1713Scale 1713: Raga Khamas, Ian Ring Music TheoryRaga Khamas
Scale 2737Scale 2737: Raga Hari Nata, Ian Ring Music TheoryRaga Hari Nata

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 ( Peruse this Bibliography.