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Scale 2611: "Raga Vasanta"

Scale 2611: Raga Vasanta, 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 Vasanta
Unknown / Unsorted
Chayavati
Zeitler
Lyrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,4,5,9,11}
Forte Number6-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2443
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 371
Deep Scaleno
Interval Vector322431
Interval Spectrump3m4n2s2d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3
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 TriadsF{5,9,0}221
A{9,1,4}221
Minor Triadsam{9,0,4}221
Augmented TriadsC♯+{1,5,9}221
Parsimonious Voice Leading Between Common Triads of Scale 2611. Created by Ian Ring ©2019 C#+ C#+ F F C#+->F A A C#+->A am am F->am am->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
Radius2
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2611 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3353
Scale 3353: Phraptimic, Ian Ring Music TheoryPhraptimic
3rd mode:
Scale 931
Scale 931: Raga Kalakanthi, Ian Ring Music TheoryRaga Kalakanthi
4th mode:
Scale 2513
Scale 2513: Aerycrimic, Ian Ring Music TheoryAerycrimic
5th mode:
Scale 413
Scale 413: Ganimic, Ian Ring Music TheoryGanimic
6th mode:
Scale 1127
Scale 1127: Eparimic, Ian Ring Music TheoryEparimic

Prime

The prime form of this scale is Scale 371

Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic

Complement

The hexatonic modal family [2611, 3353, 931, 2513, 413, 1127] (Forte: 6-16) is the complement of the hexatonic modal family [371, 791, 1841, 2233, 2443, 3269] (Forte: 6-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2611 is 2443

Scale 2443Scale 2443: Panimic, Ian Ring Music TheoryPanimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2611 is chiral, and its enantiomorph is scale 2443

Scale 2443Scale 2443: Panimic, Ian Ring Music TheoryPanimic

Transformations:

T0 2611  T0I 2443
T1 1127  T1I 791
T2 2254  T2I 1582
T3 413  T3I 3164
T4 826  T4I 2233
T5 1652  T5I 371
T6 3304  T6I 742
T7 2513  T7I 1484
T8 931  T8I 2968
T9 1862  T9I 1841
T10 3724  T10I 3682
T11 3353  T11I 3269

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 2609Scale 2609: Raga Bhinna Shadja, Ian Ring Music TheoryRaga Bhinna Shadja
Scale 2613Scale 2613: Raga Hamsa Vinodini, Ian Ring Music TheoryRaga Hamsa Vinodini
Scale 2615Scale 2615: Thoptian, Ian Ring Music TheoryThoptian
Scale 2619Scale 2619: Ionyrian, Ian Ring Music TheoryIonyrian
Scale 2595Scale 2595: Rolitonic, Ian Ring Music TheoryRolitonic
Scale 2603Scale 2603: Gadimic, Ian Ring Music TheoryGadimic
Scale 2579Scale 2579, Ian Ring Music Theory
Scale 2643Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi
Scale 2675Scale 2675: Chromatic Lydian, Ian Ring Music TheoryChromatic Lydian
Scale 2739Scale 2739: Mela Suryakanta, Ian Ring Music TheoryMela Suryakanta
Scale 2867Scale 2867: Socrian, Ian Ring Music TheorySocrian
Scale 2099Scale 2099: Raga Megharanji, Ian Ring Music TheoryRaga Megharanji
Scale 2355Scale 2355: Raga Lalita, Ian Ring Music TheoryRaga Lalita
Scale 3123Scale 3123, Ian Ring Music Theory
Scale 3635Scale 3635: Katygian, Ian Ring Music TheoryKatygian
Scale 563Scale 563: Thacritonic, Ian Ring Music TheoryThacritonic
Scale 1587Scale 1587: Raga Rudra Pancama, Ian Ring Music TheoryRaga Rudra Pancama

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.