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Scale 1205: "Raga Siva Kambhoji"

Scale 1205: Raga Siva Kambhoji, 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 Siva Kambhoji
Vivardhini
Hindustani
Andhali
Zeitler
Ionycrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,4,5,7,10}
Forte Number6-33
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1445
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes5
Prime?no
prime: 685
Deep Scaleno
Interval Vector143241
Interval Spectrump4m2n3s4dt
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {5,6,7}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.667
Maximally Evenno
Maximal Area Setno
Interior Area2.482
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
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}131.5
A♯{10,2,5}131.5
Minor Triadsgm{7,10,2}221
Diminished Triads{4,7,10}221
Parsimonious Voice Leading Between Common Triads of Scale 1205. Created by Ian Ring ©2019 C C C->e° gm gm e°->gm A# A# gm->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.

Diameter3
Radius2
Self-Centeredno
Central Verticese°, gm
Peripheral VerticesC, A♯

Modes

Modes are the rotational transformation of this scale. Scale 1205 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1325
Scale 1325: Phradimic, Ian Ring Music TheoryPhradimic
3rd mode:
Scale 1355
Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
4th mode:
Scale 2725
Scale 2725: Raga Nagagandhari, Ian Ring Music TheoryRaga Nagagandhari
5th mode:
Scale 1705
Scale 1705: Raga Manohari, Ian Ring Music TheoryRaga Manohari
6th mode:
Scale 725
Scale 725: Raga Yamuna Kalyani, Ian Ring Music TheoryRaga Yamuna Kalyani

Prime

The prime form of this scale is Scale 685

Scale 685Scale 685: Raga Suddha Bangala, Ian Ring Music TheoryRaga Suddha Bangala

Complement

The hexatonic modal family [1205, 1325, 1355, 2725, 1705, 725] (Forte: 6-33) is the complement of the hexatonic modal family [685, 1195, 1385, 1445, 1685, 2645] (Forte: 6-33)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1205 is 1445

Scale 1445Scale 1445: Raga Navamanohari, Ian Ring Music TheoryRaga Navamanohari

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1205 is chiral, and its enantiomorph is scale 1445

Scale 1445Scale 1445: Raga Navamanohari, Ian Ring Music TheoryRaga Navamanohari

Transformations:

T0 1205  T0I 1445
T1 2410  T1I 2890
T2 725  T2I 1685
T3 1450  T3I 3370
T4 2900  T4I 2645
T5 1705  T5I 1195
T6 3410  T6I 2390
T7 2725  T7I 685
T8 1355  T8I 1370
T9 2710  T9I 2740
T10 1325  T10I 1385
T11 2650  T11I 2770

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 1207Scale 1207: Aeoloptian, Ian Ring Music TheoryAeoloptian
Scale 1201Scale 1201: Mixolydian Pentatonic, Ian Ring Music TheoryMixolydian Pentatonic
Scale 1203Scale 1203: Pagimic, Ian Ring Music TheoryPagimic
Scale 1209Scale 1209: Raga Bhanumanjari, Ian Ring Music TheoryRaga Bhanumanjari
Scale 1213Scale 1213: Gyrian, Ian Ring Music TheoryGyrian
Scale 1189Scale 1189: Suspended Pentatonic, Ian Ring Music TheorySuspended Pentatonic
Scale 1197Scale 1197: Minor Hexatonic, Ian Ring Music TheoryMinor Hexatonic
Scale 1173Scale 1173: Dominant Pentatonic, Ian Ring Music TheoryDominant Pentatonic
Scale 1237Scale 1237: Salimic, Ian Ring Music TheorySalimic
Scale 1269Scale 1269: Katythian, Ian Ring Music TheoryKatythian
Scale 1077Scale 1077, Ian Ring Music Theory
Scale 1141Scale 1141: Rynimic, Ian Ring Music TheoryRynimic
Scale 1333Scale 1333: Lyptimic, Ian Ring Music TheoryLyptimic
Scale 1461Scale 1461: Major-Minor, Ian Ring Music TheoryMajor-Minor
Scale 1717Scale 1717: Mixolydian, Ian Ring Music TheoryMixolydian
Scale 181Scale 181: Raga Budhamanohari, Ian Ring Music TheoryRaga Budhamanohari
Scale 693Scale 693: Arezzo Major Diatonic Hexachord, Ian Ring Music TheoryArezzo Major Diatonic Hexachord
Scale 2229Scale 2229: Raga Nalinakanti, Ian Ring Music TheoryRaga Nalinakanti
Scale 3253Scale 3253: Mela Naganandini, Ian Ring Music TheoryMela Naganandini

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.