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Scale 2757: "Raga Nishadi"

Scale 2757: Raga Nishadi, 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 Nishadi
Zeitler
Stolimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,6,7,9,11}
Forte Number6-Z25
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1131
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes5
Prime?no
prime: 363
Deep Scaleno
Interval Vector233241
Interval Spectrump4m2n3s3d2t
Distribution Spectra<1> = {1,2,4}
<2> = {3,4,5,6}
<3> = {5,7}
<4> = {6,7,8,9}
<5> = {8,10,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.232
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
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 TriadsD{2,6,9}221
G{7,11,2}131.5
Minor Triadsbm{11,2,6}221
Diminished Triadsf♯°{6,9,0}131.5
Parsimonious Voice Leading Between Common Triads of Scale 2757. Created by Ian Ring ©2019 D D f#° f#° D->f#° bm bm D->bm Parsimonious Voice Leading Between Common Triads of Scale 2757. Created by Ian Ring ©2019 G G->bm

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 VerticesD, bm
Peripheral Verticesf♯°, G

Modes

Modes are the rotational transformation of this scale. Scale 2757 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1713
Scale 1713: Raga Khamas, Ian Ring Music TheoryRaga Khamas
3rd mode:
Scale 363
Scale 363: Soptimic, Ian Ring Music TheorySoptimicThis is the prime mode
4th mode:
Scale 2229
Scale 2229: Raga Nalinakanti, Ian Ring Music TheoryRaga Nalinakanti
5th mode:
Scale 1581
Scale 1581: Raga Bagesri, Ian Ring Music TheoryRaga Bagesri
6th mode:
Scale 1419
Scale 1419: Raga Kashyapi, Ian Ring Music TheoryRaga Kashyapi

Prime

The prime form of this scale is Scale 363

Scale 363Scale 363: Soptimic, Ian Ring Music TheorySoptimic

Complement

The hexatonic modal family [2757, 1713, 363, 2229, 1581, 1419] (Forte: 6-Z25) is the complement of the hexatonic modal family [663, 741, 1209, 1833, 2379, 3237] (Forte: 6-Z47)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2757 is 1131

Scale 1131Scale 1131: Honchoshi Plagal Form, Ian Ring Music TheoryHonchoshi Plagal Form

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2757 is chiral, and its enantiomorph is scale 1131

Scale 1131Scale 1131: Honchoshi Plagal Form, Ian Ring Music TheoryHonchoshi Plagal Form

Transformations:

T0 2757  T0I 1131
T1 1419  T1I 2262
T2 2838  T2I 429
T3 1581  T3I 858
T4 3162  T4I 1716
T5 2229  T5I 3432
T6 363  T6I 2769
T7 726  T7I 1443
T8 1452  T8I 2886
T9 2904  T9I 1677
T10 1713  T10I 3354
T11 3426  T11I 2613

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 2759Scale 2759: Mela Pavani, Ian Ring Music TheoryMela Pavani
Scale 2753Scale 2753, Ian Ring Music Theory
Scale 2755Scale 2755, Ian Ring Music Theory
Scale 2761Scale 2761: Dagimic, Ian Ring Music TheoryDagimic
Scale 2765Scale 2765: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
Scale 2773Scale 2773: Lydian, Ian Ring Music TheoryLydian
Scale 2789Scale 2789: Zolian, Ian Ring Music TheoryZolian
Scale 2693Scale 2693, Ian Ring Music Theory
Scale 2725Scale 2725: Raga Nagagandhari, Ian Ring Music TheoryRaga Nagagandhari
Scale 2629Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
Scale 2885Scale 2885: Byrimic, Ian Ring Music TheoryByrimic
Scale 3013Scale 3013: Thynian, Ian Ring Music TheoryThynian
Scale 2245Scale 2245: Raga Vaijayanti, Ian Ring Music TheoryRaga Vaijayanti
Scale 2501Scale 2501: Ralimic, Ian Ring Music TheoryRalimic
Scale 3269Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani
Scale 3781Scale 3781: Gyphian, Ian Ring Music TheoryGyphian
Scale 709Scale 709: Raga Shri Kalyan, Ian Ring Music TheoryRaga Shri Kalyan
Scale 1733Scale 1733: Raga Sarasvati, Ian Ring Music TheoryRaga Sarasvati

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.