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Scale 2357: "Raga Sarasanana"

Scale 2357: Raga Sarasanana, 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 Sarasanana
Zeitler
Ionaptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,4,5,8,11}
Forte Number6-Z28
Rotational Symmetrynone
Reflection Axes2
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 619
Deep Scaleno
Interval Vector224322
Interval Spectrump2m3n4s2d2t2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,6}
<3> = {5,6,7}
<4> = {6,8,9}
<5> = {9,10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tones[4]
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 TriadsE{4,8,11}331.43
Minor Triadsfm{5,8,0}331.43
Augmented TriadsC+{0,4,8}231.57
Diminished Triads{2,5,8}231.57
{5,8,11}231.57
g♯°{8,11,2}231.57
{11,2,5}231.71
Parsimonious Voice Leading Between Common Triads of Scale 2357. Created by Ian Ring ©2019 C+ C+ E E C+->E fm fm C+->fm d°->fm d°->b° E->f° g#° g#° E->g#° f°->fm g#°->b°

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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
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2357 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1613
Scale 1613: Thylimic, Ian Ring Music TheoryThylimic
3rd mode:
Scale 1427
Scale 1427: Lolimic, Ian Ring Music TheoryLolimic
4th mode:
Scale 2761
Scale 2761: Dagimic, Ian Ring Music TheoryDagimic
5th mode:
Scale 857
Scale 857: Aeolydimic, Ian Ring Music TheoryAeolydimic
6th mode:
Scale 619
Scale 619: Double-Phrygian Hexatonic, Ian Ring Music TheoryDouble-Phrygian HexatonicThis is the prime mode

Prime

The prime form of this scale is Scale 619

Scale 619Scale 619: Double-Phrygian Hexatonic, Ian Ring Music TheoryDouble-Phrygian Hexatonic

Complement

The hexatonic modal family [2357, 1613, 1427, 2761, 857, 619] (Forte: 6-Z28) is the complement of the hexatonic modal family [667, 869, 1241, 1619, 2381, 2857] (Forte: 6-Z49)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2357 is 1427

Scale 1427Scale 1427: Lolimic, Ian Ring Music TheoryLolimic

Transformations:

T0 2357  T0I 1427
T1 619  T1I 2854
T2 1238  T2I 1613
T3 2476  T3I 3226
T4 857  T4I 2357
T5 1714  T5I 619
T6 3428  T6I 1238
T7 2761  T7I 2476
T8 1427  T8I 857
T9 2854  T9I 1714
T10 1613  T10I 3428
T11 3226  T11I 2761

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 2359Scale 2359: Gadian, Ian Ring Music TheoryGadian
Scale 2353Scale 2353: Raga Girija, Ian Ring Music TheoryRaga Girija
Scale 2355Scale 2355: Raga Lalita, Ian Ring Music TheoryRaga Lalita
Scale 2361Scale 2361: Docrimic, Ian Ring Music TheoryDocrimic
Scale 2365Scale 2365: Sythian, Ian Ring Music TheorySythian
Scale 2341Scale 2341: Raga Priyadharshini, Ian Ring Music TheoryRaga Priyadharshini
Scale 2349Scale 2349: Raga Ghantana, Ian Ring Music TheoryRaga Ghantana
Scale 2325Scale 2325: Pynitonic, Ian Ring Music TheoryPynitonic
Scale 2389Scale 2389: Eskimo Hexatonic 2, Ian Ring Music TheoryEskimo Hexatonic 2
Scale 2421Scale 2421: Malian, Ian Ring Music TheoryMalian
Scale 2485Scale 2485: Harmonic Major, Ian Ring Music TheoryHarmonic Major
Scale 2101Scale 2101, Ian Ring Music Theory
Scale 2229Scale 2229: Raga Nalinakanti, Ian Ring Music TheoryRaga Nalinakanti
Scale 2613Scale 2613: Raga Hamsa Vinodini, Ian Ring Music TheoryRaga Hamsa Vinodini
Scale 2869Scale 2869: Major Augmented, Ian Ring Music TheoryMajor Augmented
Scale 3381Scale 3381: Katanian, Ian Ring Music TheoryKatanian
Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic
Scale 1333Scale 1333: Lyptimic, Ian Ring Music TheoryLyptimic

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.