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Scale 557: "Raga Abhogi"

Scale 557: Raga Abhogi, 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 Abhogi
Zeitler
Gythitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,3,5,9}
Forte Number5-25
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1673
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 301
Deep Scaleno
Interval Vector123121
Interval Spectrump2mn3s2dt
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,5,6,7}
<3> = {5,6,7,9}
<4> = {8,9,10,11}
Spectra Variation2.8
Maximally Evenno
Maximal Area Setno
Interior Area2.049
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 TriadsF{5,9,0}210.67
Minor Triadsdm{2,5,9}121
Diminished Triads{9,0,3}121
Parsimonious Voice Leading Between Common Triads of Scale 557. Created by Ian Ring ©2019 dm dm F F dm->F F->a°

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 VerticesF
Peripheral Verticesdm, a°

Modes

Modes are the rotational transformation of this scale. Scale 557 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1163
Scale 1163: Raga Rukmangi, Ian Ring Music TheoryRaga Rukmangi
3rd mode:
Scale 2629
Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
4th mode:
Scale 1681
Scale 1681: Raga Valaji, Ian Ring Music TheoryRaga Valaji
5th mode:
Scale 361
Scale 361: Bocritonic, Ian Ring Music TheoryBocritonic

Prime

The prime form of this scale is Scale 301

Scale 301Scale 301: Raga Audav Tukhari, Ian Ring Music TheoryRaga Audav Tukhari

Complement

The pentatonic modal family [557, 1163, 2629, 1681, 361] (Forte: 5-25) is the complement of the heptatonic modal family [733, 1207, 1769, 1867, 2651, 2981, 3373] (Forte: 7-25)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 557 is 1673

Scale 1673Scale 1673: Thocritonic, Ian Ring Music TheoryThocritonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 557 is chiral, and its enantiomorph is scale 1673

Scale 1673Scale 1673: Thocritonic, Ian Ring Music TheoryThocritonic

Transformations:

T0 557  T0I 1673
T1 1114  T1I 3346
T2 2228  T2I 2597
T3 361  T3I 1099
T4 722  T4I 2198
T5 1444  T5I 301
T6 2888  T6I 602
T7 1681  T7I 1204
T8 3362  T8I 2408
T9 2629  T9I 721
T10 1163  T10I 1442
T11 2326  T11I 2884

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 559Scale 559: Lylimic, Ian Ring Music TheoryLylimic
Scale 553Scale 553: Rothic, Ian Ring Music TheoryRothic
Scale 555Scale 555: Aeolycritonic, Ian Ring Music TheoryAeolycritonic
Scale 549Scale 549: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
Scale 565Scale 565: Aeolyphritonic, Ian Ring Music TheoryAeolyphritonic
Scale 573Scale 573: Saptimic, Ian Ring Music TheorySaptimic
Scale 525Scale 525, Ian Ring Music Theory
Scale 541Scale 541, Ian Ring Music Theory
Scale 589Scale 589: Ionalitonic, Ian Ring Music TheoryIonalitonic
Scale 621Scale 621: Pyramid Hexatonic, Ian Ring Music TheoryPyramid Hexatonic
Scale 685Scale 685: Raga Suddha Bangala, Ian Ring Music TheoryRaga Suddha Bangala
Scale 813Scale 813: Larimic, Ian Ring Music TheoryLarimic
Scale 45Scale 45, Ian Ring Music Theory
Scale 301Scale 301: Raga Audav Tukhari, Ian Ring Music TheoryRaga Audav Tukhari
Scale 1069Scale 1069, Ian Ring Music Theory
Scale 1581Scale 1581: Raga Bagesri, Ian Ring Music TheoryRaga Bagesri
Scale 2605Scale 2605: Rylimic, Ian Ring Music TheoryRylimic

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.