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Scale 725: "Raga Yamuna Kalyani"

Scale 725: Raga Yamuna Kalyani, 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 Yamuna Kalyani
Kalyani Keseri
Hindustani
Airavati
Exoticisms
Ancient Chinese
Zeitler
Lonimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,4,6,7,9}
Forte Number6-33
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1385
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
Maximal Area Setno
Interior Area2.482
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsC{0,4,7}131.5
D{2,6,9}131.5
Minor Triadsam{9,0,4}221
Diminished Triadsf♯°{6,9,0}221
Parsimonious Voice Leading Between Common Triads of Scale 725. Created by Ian Ring ©2019 C C am am C->am D D f#° f#° D->f#° f#°->am

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter3
Radius2
Self-Centeredno
Central Verticesf♯°, am
Peripheral VerticesC, D

Modes

Modes are the rotational transformation of this scale. Scale 725 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1205
Scale 1205: Raga Siva Kambhoji, Ian Ring Music TheoryRaga Siva Kambhoji
3rd mode:
Scale 1325
Scale 1325: Phradimic, Ian Ring Music TheoryPhradimic
4th mode:
Scale 1355
Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
5th mode:
Scale 2725
Scale 2725: Raga Nagagandhari, Ian Ring Music TheoryRaga Nagagandhari
6th mode:
Scale 1705
Scale 1705: Raga Manohari, Ian Ring Music TheoryRaga Manohari

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 [725, 1205, 1325, 1355, 2725, 1705] (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 725 is 1385

Scale 1385Scale 1385: Phracrimic, Ian Ring Music TheoryPhracrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 725 is chiral, and its enantiomorph is scale 1385

Scale 1385Scale 1385: Phracrimic, Ian Ring Music TheoryPhracrimic

Transformations:

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

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 727Scale 727: Phradian, Ian Ring Music TheoryPhradian
Scale 721Scale 721: Raga Dhavalashri, Ian Ring Music TheoryRaga Dhavalashri
Scale 723Scale 723: Ionadimic, Ian Ring Music TheoryIonadimic
Scale 729Scale 729: Stygimic, Ian Ring Music TheoryStygimic
Scale 733Scale 733: Donian, Ian Ring Music TheoryDonian
Scale 709Scale 709: Raga Shri Kalyan, Ian Ring Music TheoryRaga Shri Kalyan
Scale 717Scale 717: Raga Vijayanagari, Ian Ring Music TheoryRaga Vijayanagari
Scale 741Scale 741: Gathimic, Ian Ring Music TheoryGathimic
Scale 757Scale 757: Ionyptian, Ian Ring Music TheoryIonyptian
Scale 661Scale 661: Major Pentatonic, Ian Ring Music TheoryMajor Pentatonic
Scale 693Scale 693: Arezzo Major Diatonic Hexachord, Ian Ring Music TheoryArezzo Major Diatonic Hexachord
Scale 597Scale 597: Kung, Ian Ring Music TheoryKung
Scale 853Scale 853: Epothimic, Ian Ring Music TheoryEpothimic
Scale 981Scale 981: Mela Kantamani, Ian Ring Music TheoryMela Kantamani
Scale 213Scale 213, Ian Ring Music Theory
Scale 469Scale 469: Katyrimic, Ian Ring Music TheoryKatyrimic
Scale 1237Scale 1237: Salimic, Ian Ring Music TheorySalimic
Scale 1749Scale 1749: Acoustic, Ian Ring Music TheoryAcoustic
Scale 2773Scale 2773: Lydian, Ian Ring Music TheoryLydian

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.