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Scale 2995: "Raga Saurashtra"

Scale 2995: Raga Saurashtra, 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 Saurashtra
Zeitler
Sanyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,4,5,7,8,9,11}
Forte Number8-19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2491
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 887
Deep Scaleno
Interval Vector545752
Interval Spectrump5m7n5s4d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {4,5,6}
<4> = {5,6,7}
<5> = {6,7,8}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation1.75
Maximally Evenno
Maximal Area Setno
Interior Area2.616
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}342.08
C♯{1,5,8}342
E{4,8,11}342.08
F{5,9,0}342.15
A{9,1,4}342.15
Minor Triadsc♯m{1,4,8}431.77
em{4,7,11}252.62
fm{5,8,0}431.77
am{9,0,4}331.92
Augmented TriadsC+{0,4,8}531.54
C♯+{1,5,9}352.38
Diminished Triadsc♯°{1,4,7}242.31
{5,8,11}242.31
Parsimonious Voice Leading Between Common Triads of Scale 2995. Created by Ian Ring ©2019 C C C+ C+ C->C+ c#° c#° C->c#° em em C->em c#m c#m C+->c#m E E C+->E fm fm C+->fm am am C+->am c#°->c#m C# C# c#m->C# A A c#m->A C#+ C#+ C#->C#+ C#->fm F F C#+->F C#+->A em->E E->f° f°->fm fm->F F->am am->A

view full size

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.

Diameter5
Radius3
Self-Centeredno
Central VerticesC+, c♯m, fm, am
Peripheral VerticesC♯+, em

Modes

Modes are the rotational transformation of this scale. Scale 2995 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3545
Scale 3545: Thyptyllic, Ian Ring Music TheoryThyptyllic
3rd mode:
Scale 955
Scale 955: Ionogyllic, Ian Ring Music TheoryIonogyllic
4th mode:
Scale 2525
Scale 2525: Aeolaryllic, Ian Ring Music TheoryAeolaryllic
5th mode:
Scale 1655
Scale 1655: Katygyllic, Ian Ring Music TheoryKatygyllic
6th mode:
Scale 2875
Scale 2875: Ganyllic, Ian Ring Music TheoryGanyllic
7th mode:
Scale 3485
Scale 3485: Sabach, Ian Ring Music TheorySabach
8th mode:
Scale 1895
Scale 1895: Salyllic, Ian Ring Music TheorySalyllic

Prime

The prime form of this scale is Scale 887

Scale 887Scale 887: Sathyllic, Ian Ring Music TheorySathyllic

Complement

The octatonic modal family [2995, 3545, 955, 2525, 1655, 2875, 3485, 1895] (Forte: 8-19) is the complement of the tetratonic modal family [275, 305, 785, 2185] (Forte: 4-19)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2995 is 2491

Scale 2491Scale 2491: Layllic, Ian Ring Music TheoryLayllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2995 is chiral, and its enantiomorph is scale 2491

Scale 2491Scale 2491: Layllic, Ian Ring Music TheoryLayllic

Transformations:

T0 2995  T0I 2491
T1 1895  T1I 887
T2 3790  T2I 1774
T3 3485  T3I 3548
T4 2875  T4I 3001
T5 1655  T5I 1907
T6 3310  T6I 3814
T7 2525  T7I 3533
T8 955  T8I 2971
T9 1910  T9I 1847
T10 3820  T10I 3694
T11 3545  T11I 3293

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 2993Scale 2993: Stythian, Ian Ring Music TheoryStythian
Scale 2997Scale 2997: Major Bebop, Ian Ring Music TheoryMajor Bebop
Scale 2999Scale 2999: Chromatic and Permuted Diatonic Dorian Mixed, Ian Ring Music TheoryChromatic and Permuted Diatonic Dorian Mixed
Scale 3003Scale 3003: Genus Chromaticum, Ian Ring Music TheoryGenus Chromaticum
Scale 2979Scale 2979: Gyptian, Ian Ring Music TheoryGyptian
Scale 2987Scale 2987: Neapolitan Major and Minor Mixed, Ian Ring Music TheoryNeapolitan Major and Minor Mixed
Scale 2963Scale 2963: Bygian, Ian Ring Music TheoryBygian
Scale 3027Scale 3027: Rythyllic, Ian Ring Music TheoryRythyllic
Scale 3059Scale 3059: Madygic, Ian Ring Music TheoryMadygic
Scale 2867Scale 2867: Socrian, Ian Ring Music TheorySocrian
Scale 2931Scale 2931: Zathyllic, Ian Ring Music TheoryZathyllic
Scale 2739Scale 2739: Mela Suryakanta, Ian Ring Music TheoryMela Suryakanta
Scale 2483Scale 2483: Double Harmonic, Ian Ring Music TheoryDouble Harmonic
Scale 3507Scale 3507: Maqam Hijaz, Ian Ring Music TheoryMaqam Hijaz
Scale 4019Scale 4019: Lonygic, Ian Ring Music TheoryLonygic
Scale 947Scale 947: Mela Gayakapriya, Ian Ring Music TheoryMela Gayakapriya
Scale 1971Scale 1971: Aerynyllic, Ian Ring Music TheoryAerynyllic

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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.