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Scale 2467: "Raga Padi"

Scale 2467: Raga Padi, 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 Padi
Zeitler
Morimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,5,7,8,11}
Forte Number6-Z43
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2227
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 359
Deep Scaleno
Interval Vector322332
Interval Spectrump3m3n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {5,6,7}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.667
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 TriadsC♯{1,5,8}121
Minor Triadsfm{5,8,0}210.67
Diminished Triads{5,8,11}121
Parsimonious Voice Leading Between Common Triads of Scale 2467. Created by Ian Ring ©2019 C# C# fm fm C#->fm f°->fm

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 Verticesfm
Peripheral VerticesC♯, f°

Modes

Modes are the rotational transformation of this scale. Scale 2467 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3281
Scale 3281: Raga Vijayavasanta, Ian Ring Music TheoryRaga Vijayavasanta
3rd mode:
Scale 461
Scale 461: Raga Syamalam, Ian Ring Music TheoryRaga Syamalam
4th mode:
Scale 1139
Scale 1139: Aerygimic, Ian Ring Music TheoryAerygimic
5th mode:
Scale 2617
Scale 2617: Pylimic, Ian Ring Music TheoryPylimic
6th mode:
Scale 839
Scale 839: Ionathimic, Ian Ring Music TheoryIonathimic

Prime

The prime form of this scale is Scale 359

Scale 359Scale 359: Bothimic, Ian Ring Music TheoryBothimic

Complement

The hexatonic modal family [2467, 3281, 461, 1139, 2617, 839] (Forte: 6-Z43) is the complement of the hexatonic modal family [407, 739, 1817, 2251, 2417, 3173] (Forte: 6-Z17)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2467 is 2227

Scale 2227Scale 2227: Raga Gaula, Ian Ring Music TheoryRaga Gaula

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2467 is chiral, and its enantiomorph is scale 2227

Scale 2227Scale 2227: Raga Gaula, Ian Ring Music TheoryRaga Gaula

Transformations:

T0 2467  T0I 2227
T1 839  T1I 359
T2 1678  T2I 718
T3 3356  T3I 1436
T4 2617  T4I 2872
T5 1139  T5I 1649
T6 2278  T6I 3298
T7 461  T7I 2501
T8 922  T8I 907
T9 1844  T9I 1814
T10 3688  T10I 3628
T11 3281  T11I 3161

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 2465Scale 2465: Raga Devaranjani, Ian Ring Music TheoryRaga Devaranjani
Scale 2469Scale 2469: Raga Bhinna Pancama, Ian Ring Music TheoryRaga Bhinna Pancama
Scale 2471Scale 2471: Mela Ganamurti, Ian Ring Music TheoryMela Ganamurti
Scale 2475Scale 2475: Neapolitan Minor, Ian Ring Music TheoryNeapolitan Minor
Scale 2483Scale 2483: Double Harmonic, Ian Ring Music TheoryDouble Harmonic
Scale 2435Scale 2435: Raga Deshgaur, Ian Ring Music TheoryRaga Deshgaur
Scale 2451Scale 2451: Raga Bauli, Ian Ring Music TheoryRaga Bauli
Scale 2499Scale 2499, Ian Ring Music Theory
Scale 2531Scale 2531: Danian, Ian Ring Music TheoryDanian
Scale 2339Scale 2339: Raga Kshanika, Ian Ring Music TheoryRaga Kshanika
Scale 2403Scale 2403: Lycrimic, Ian Ring Music TheoryLycrimic
Scale 2211Scale 2211: Raga Gauri, Ian Ring Music TheoryRaga Gauri
Scale 2723Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika
Scale 2979Scale 2979: Gyptian, Ian Ring Music TheoryGyptian
Scale 3491Scale 3491: Tharian, Ian Ring Music TheoryTharian
Scale 419Scale 419: Hon-kumoi-joshi, Ian Ring Music TheoryHon-kumoi-joshi
Scale 1443Scale 1443: Raga Phenadyuti, Ian Ring Music TheoryRaga Phenadyuti

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.