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Scale 3749: "Raga Sorati"

Scale 3749: Raga Sorati, 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

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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 Sorati
Unknown / Unsorted
Sur Malhar
Zeitler
Zothian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,5,7,9,10,11}
Forte Number7-23
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1199
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes6
Prime?no
prime: 701
Deep Scaleno
Interval Vector354351
Interval Spectrump5m3n4s5d3t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

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}142.17
G{7,11,2}241.83
A♯{10,2,5}321.17
Minor Triadsdm{2,5,9}231.5
gm{7,10,2}231.5
Diminished Triads{11,2,5}231.5
Parsimonious Voice Leading Between Common Triads of Scale 3749. Created by Ian Ring ©2019 dm dm F F dm->F A# A# dm->A# gm gm Parsimonious Voice Leading Between Common Triads of Scale 3749. Created by Ian Ring ©2019 G gm->G gm->A# G->b° A#->b°

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.

Diameter4
Radius2
Self-Centeredno
Central VerticesA♯
Peripheral VerticesF, G

Modes

Modes are the rotational transformation of this scale. Scale 3749 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1961
Scale 1961: Soptian, Ian Ring Music TheorySoptian
3rd mode:
Scale 757
Scale 757: Ionyptian, Ian Ring Music TheoryIonyptian
4th mode:
Scale 1213
Scale 1213: Gyrian, Ian Ring Music TheoryGyrian
5th mode:
Scale 1327
Scale 1327: Zalian, Ian Ring Music TheoryZalian
6th mode:
Scale 2711
Scale 2711: Stolian, Ian Ring Music TheoryStolian
7th mode:
Scale 3403
Scale 3403: Bylian, Ian Ring Music TheoryBylian

Prime

The prime form of this scale is Scale 701

Scale 701Scale 701: Mixonyphian, Ian Ring Music TheoryMixonyphian

Complement

The heptatonic modal family [3749, 1961, 757, 1213, 1327, 2711, 3403] (Forte: 7-23) is the complement of the pentatonic modal family [173, 1067, 1441, 1669, 2581] (Forte: 5-23)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3749 is 1199

Scale 1199Scale 1199: Magian, Ian Ring Music TheoryMagian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3749 is chiral, and its enantiomorph is scale 1199

Scale 1199Scale 1199: Magian, Ian Ring Music TheoryMagian

Transformations:

T0 3749  T0I 1199
T1 3403  T1I 2398
T2 2711  T2I 701
T3 1327  T3I 1402
T4 2654  T4I 2804
T5 1213  T5I 1513
T6 2426  T6I 3026
T7 757  T7I 1957
T8 1514  T8I 3914
T9 3028  T9I 3733
T10 1961  T10I 3371
T11 3922  T11I 2647

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 3751Scale 3751: Aerathyllic, Ian Ring Music TheoryAerathyllic
Scale 3745Scale 3745, Ian Ring Music Theory
Scale 3747Scale 3747: Myrian, Ian Ring Music TheoryMyrian
Scale 3753Scale 3753: Phraptian, Ian Ring Music TheoryPhraptian
Scale 3757Scale 3757: Raga Mian Ki Malhar, Ian Ring Music TheoryRaga Mian Ki Malhar
Scale 3765Scale 3765: Dominant Bebop, Ian Ring Music TheoryDominant Bebop
Scale 3717Scale 3717, Ian Ring Music Theory
Scale 3733Scale 3733: Gycrian, Ian Ring Music TheoryGycrian
Scale 3781Scale 3781: Gyphian, Ian Ring Music TheoryGyphian
Scale 3813Scale 3813: Aeologyllic, Ian Ring Music TheoryAeologyllic
Scale 3621Scale 3621: Gylimic, Ian Ring Music TheoryGylimic
Scale 3685Scale 3685: Kodian, Ian Ring Music TheoryKodian
Scale 3877Scale 3877: Thanian, Ian Ring Music TheoryThanian
Scale 4005Scale 4005, Ian Ring Music Theory
Scale 3237Scale 3237: Raga Brindabani Sarang, Ian Ring Music TheoryRaga Brindabani Sarang
Scale 3493Scale 3493: Rathian, Ian Ring Music TheoryRathian
Scale 2725Scale 2725: Raga Nagagandhari, Ian Ring Music TheoryRaga Nagagandhari
Scale 1701Scale 1701: Dominant Seventh, Ian Ring Music TheoryDominant Seventh

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.