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Scale 1417: "Raga Shailaja"

Scale 1417: Raga Shailaja, 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 Shailaja
Unknown / Unsorted
Varini
Zeitler
Zoptitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,3,7,8,10}
Forte Number5-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 565
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes4
Prime?no
prime: 299
Deep Scaleno
Interval Vector122230
Interval Spectrump3m2n2s2d
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5,7}
<3> = {5,7,8,9}
<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 TriadsD♯{3,7,10}121
G♯{8,0,3}121
Minor Triadscm{0,3,7}210.67
Parsimonious Voice Leading Between Common Triads of Scale 1417. Created by Ian Ring ©2019 cm cm D# D# cm->D# G# G# cm->G#

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 Verticescm
Peripheral VerticesD♯, G♯

Modes

Modes are the rotational transformation of this scale. Scale 1417 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 689
Scale 689: Raga Nagasvaravali, Ian Ring Music TheoryRaga Nagasvaravali
3rd mode:
Scale 299
Scale 299: Raga Chitthakarshini, Ian Ring Music TheoryRaga ChitthakarshiniThis is the prime mode
4th mode:
Scale 2197
Scale 2197: Raga Hamsadhvani, Ian Ring Music TheoryRaga Hamsadhvani
5th mode:
Scale 1573
Scale 1573: Raga Guhamanohari, Ian Ring Music TheoryRaga Guhamanohari

Prime

The prime form of this scale is Scale 299

Scale 299Scale 299: Raga Chitthakarshini, Ian Ring Music TheoryRaga Chitthakarshini

Complement

The pentatonic modal family [1417, 689, 299, 2197, 1573] (Forte: 5-27) is the complement of the heptatonic modal family [695, 1465, 1765, 1835, 2395, 2965, 3245] (Forte: 7-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1417 is 565

Scale 565Scale 565: Aeolyphritonic, Ian Ring Music TheoryAeolyphritonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1417 is chiral, and its enantiomorph is scale 565

Scale 565Scale 565: Aeolyphritonic, Ian Ring Music TheoryAeolyphritonic

Transformations:

T0 1417  T0I 565
T1 2834  T1I 1130
T2 1573  T2I 2260
T3 3146  T3I 425
T4 2197  T4I 850
T5 299  T5I 1700
T6 598  T6I 3400
T7 1196  T7I 2705
T8 2392  T8I 1315
T9 689  T9I 2630
T10 1378  T10I 1165
T11 2756  T11I 2330

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 1419Scale 1419: Raga Kashyapi, Ian Ring Music TheoryRaga Kashyapi
Scale 1421Scale 1421: Raga Trimurti, Ian Ring Music TheoryRaga Trimurti
Scale 1409Scale 1409, Ian Ring Music Theory
Scale 1413Scale 1413, Ian Ring Music Theory
Scale 1425Scale 1425: Ryphitonic, Ian Ring Music TheoryRyphitonic
Scale 1433Scale 1433: Dynimic, Ian Ring Music TheoryDynimic
Scale 1449Scale 1449: Raga Gopikavasantam, Ian Ring Music TheoryRaga Gopikavasantam
Scale 1481Scale 1481: Zagimic, Ian Ring Music TheoryZagimic
Scale 1289Scale 1289, Ian Ring Music Theory
Scale 1353Scale 1353: Raga Harikauns, Ian Ring Music TheoryRaga Harikauns
Scale 1161Scale 1161: Bi Yu, Ian Ring Music TheoryBi Yu
Scale 1673Scale 1673: Thocritonic, Ian Ring Music TheoryThocritonic
Scale 1929Scale 1929: Aeolycrimic, Ian Ring Music TheoryAeolycrimic
Scale 393Scale 393: Lothic, Ian Ring Music TheoryLothic
Scale 905Scale 905: Bylitonic, Ian Ring Music TheoryBylitonic
Scale 2441Scale 2441: Kyritonic, Ian Ring Music TheoryKyritonic
Scale 3465Scale 3465: Katathimic, Ian Ring Music TheoryKatathimic

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.