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Scale 2725: "Raga Nagagandhari"

Scale 2725: Raga Nagagandhari, 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

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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 Nagagandhari
Zeitler
Gonimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,5,7,9,11}
Forte Number6-33
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1195
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
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2725 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1705
Scale 1705: Raga Manohari, Ian Ring Music TheoryRaga Manohari
3rd mode:
Scale 725
Scale 725: Raga Yamuna Kalyani, Ian Ring Music TheoryRaga Yamuna Kalyani
4th mode:
Scale 1205
Scale 1205: Raga Siva Kambhoji, Ian Ring Music TheoryRaga Siva Kambhoji
5th mode:
Scale 1325
Scale 1325: Phradimic, Ian Ring Music TheoryPhradimic
6th mode:
Scale 1355
Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani

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 [2725, 1705, 725, 1205, 1325, 1355] (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 2725 is 1195

Scale 1195Scale 1195: Raga Gandharavam, Ian Ring Music TheoryRaga Gandharavam

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2725 is chiral, and its enantiomorph is scale 1195

Scale 1195Scale 1195: Raga Gandharavam, Ian Ring Music TheoryRaga Gandharavam

Transformations:

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

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 2727Scale 2727: Mela Manavati, Ian Ring Music TheoryMela Manavati
Scale 2721Scale 2721: Raga Puruhutika, Ian Ring Music TheoryRaga Puruhutika
Scale 2723Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika
Scale 2729Scale 2729: Aeragimic, Ian Ring Music TheoryAeragimic
Scale 2733Scale 2733: Melodic Minor Ascending, Ian Ring Music TheoryMelodic Minor Ascending
Scale 2741Scale 2741: Major, Ian Ring Music TheoryMajor
Scale 2693Scale 2693, Ian Ring Music Theory
Scale 2709Scale 2709: Raga Kumud, Ian Ring Music TheoryRaga Kumud
Scale 2757Scale 2757: Raga Nishadi, Ian Ring Music TheoryRaga Nishadi
Scale 2789Scale 2789: Zolian, Ian Ring Music TheoryZolian
Scale 2597Scale 2597: Raga Rasranjani, Ian Ring Music TheoryRaga Rasranjani
Scale 2661Scale 2661: Stydimic, Ian Ring Music TheoryStydimic
Scale 2853Scale 2853: Baptimic, Ian Ring Music TheoryBaptimic
Scale 2981Scale 2981: Ionolian, Ian Ring Music TheoryIonolian
Scale 2213Scale 2213: Raga Desh, Ian Ring Music TheoryRaga Desh
Scale 2469Scale 2469: Raga Bhinna Pancama, Ian Ring Music TheoryRaga Bhinna Pancama
Scale 3237Scale 3237: Raga Brindabani Sarang, Ian Ring Music TheoryRaga Brindabani Sarang
Scale 3749Scale 3749: Raga Sorati, Ian Ring Music TheoryRaga Sorati
Scale 677Scale 677: Scottish Pentatonic, Ian Ring Music TheoryScottish Pentatonic
Scale 1701Scale 1701: Dominant Seventh, Ian Ring Music TheoryDominant Seventh

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.