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Scale 2259: "Raga Mandari"

Scale 2259: Raga Mandari, 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 Mandari
Unknown / Unsorted
Gamakakriya
Hamsanarayani
Zeitler
Gogimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,4,6,7,11}
Forte Number6-18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2403
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes5
Prime?no
prime: 423
Deep Scaleno
Interval Vector322242
Interval Spectrump4m2n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5}
<3> = {5,6,7}
<4> = {7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.116
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 TriadsC{0,4,7}210.67
Minor Triadsem{4,7,11}121
Diminished Triadsc♯°{1,4,7}121
Parsimonious Voice Leading Between Common Triads of Scale 2259. Created by Ian Ring ©2019 C C c#° c#° C->c#° em em C->em

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.

Diameter2
Radius1
Self-Centeredno
Central VerticesC
Peripheral Verticesc♯°, em

Modes

Modes are the rotational transformation of this scale. Scale 2259 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3177
Scale 3177: Rothimic, Ian Ring Music TheoryRothimic
3rd mode:
Scale 909
Scale 909: Katarimic, Ian Ring Music TheoryKatarimic
4th mode:
Scale 1251
Scale 1251: Sylimic, Ian Ring Music TheorySylimic
5th mode:
Scale 2673
Scale 2673: Mythimic, Ian Ring Music TheoryMythimic
6th mode:
Scale 423
Scale 423: Sogimic, Ian Ring Music TheorySogimicThis is the prime mode

Prime

The prime form of this scale is Scale 423

Scale 423Scale 423: Sogimic, Ian Ring Music TheorySogimic

Complement

The hexatonic modal family [2259, 3177, 909, 1251, 2673, 423] (Forte: 6-18) is the complement of the hexatonic modal family [423, 909, 1251, 2259, 2673, 3177] (Forte: 6-18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2259 is 2403

Scale 2403Scale 2403: Lycrimic, Ian Ring Music TheoryLycrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2259 is chiral, and its enantiomorph is scale 2403

Scale 2403Scale 2403: Lycrimic, Ian Ring Music TheoryLycrimic

Transformations:

T0 2259  T0I 2403
T1 423  T1I 711
T2 846  T2I 1422
T3 1692  T3I 2844
T4 3384  T4I 1593
T5 2673  T5I 3186
T6 1251  T6I 2277
T7 2502  T7I 459
T8 909  T8I 918
T9 1818  T9I 1836
T10 3636  T10I 3672
T11 3177  T11I 3249

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 2257Scale 2257: Lydian Pentatonic, Ian Ring Music TheoryLydian Pentatonic
Scale 2261Scale 2261: Raga Caturangini, Ian Ring Music TheoryRaga Caturangini
Scale 2263Scale 2263: Lycrian, Ian Ring Music TheoryLycrian
Scale 2267Scale 2267: Padian, Ian Ring Music TheoryPadian
Scale 2243Scale 2243, Ian Ring Music Theory
Scale 2251Scale 2251: Zodimic, Ian Ring Music TheoryZodimic
Scale 2275Scale 2275: Messiaen Mode 5, Ian Ring Music TheoryMessiaen Mode 5
Scale 2291Scale 2291: Zydian, Ian Ring Music TheoryZydian
Scale 2195Scale 2195: Zalitonic, Ian Ring Music TheoryZalitonic
Scale 2227Scale 2227: Raga Gaula, Ian Ring Music TheoryRaga Gaula
Scale 2131Scale 2131, Ian Ring Music Theory
Scale 2387Scale 2387: Paptimic, Ian Ring Music TheoryPaptimic
Scale 2515Scale 2515: Chromatic Hypolydian, Ian Ring Music TheoryChromatic Hypolydian
Scale 2771Scale 2771: Marva That, Ian Ring Music TheoryMarva That
Scale 3283Scale 3283: Mela Visvambhari, Ian Ring Music TheoryMela Visvambhari
Scale 211Scale 211, Ian Ring Music Theory
Scale 1235Scale 1235: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2

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.