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Scale 3277: "Mela Nitimati"

Scale 3277: Mela Nitimati, 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 Mela
Mela Nitimati
Carnatic Raga
Raga Nisada
Kaikavasi
Zeitler
Zycrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,6,7,10,11}
Forte Number7-21
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1639
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 823
Deep Scaleno
Interval Vector424641
Interval Spectrump4m6n4s2d4t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {8,9,10}
<6> = {9,10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setno
Interior Area2.433
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 TriadsD♯{3,7,10}331.7
G{7,11,2}331.7
B{11,3,6}431.5
Minor Triadscm{0,3,7}242.1
d♯m{3,6,10}331.7
gm{7,10,2}341.9
bm{11,2,6}331.7
Augmented TriadsD+{2,6,10}341.9
D♯+{3,7,11}431.5
Diminished Triads{0,3,6}242.1
Parsimonious Voice Leading Between Common Triads of Scale 3277. Created by Ian Ring ©2019 cm cm c°->cm B B c°->B D#+ D#+ cm->D#+ D+ D+ d#m d#m D+->d#m gm gm D+->gm bm bm D+->bm D# D# d#m->D# d#m->B D#->D#+ D#->gm Parsimonious Voice Leading Between Common Triads of Scale 3277. Created by Ian Ring ©2019 G D#+->G D#+->B gm->G G->bm bm->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
Radius3
Self-Centeredno
Central Verticesd♯m, D♯, D♯+, G, bm, B
Peripheral Verticesc°, cm, D+, gm

Modes

Modes are the rotational transformation of this scale. Scale 3277 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1843
Scale 1843: Ionygian, Ian Ring Music TheoryIonygian
3rd mode:
Scale 2969
Scale 2969: Tholian, Ian Ring Music TheoryTholian
4th mode:
Scale 883
Scale 883: Ralian, Ian Ring Music TheoryRalian
5th mode:
Scale 2489
Scale 2489: Mela Gangeyabhusani, Ian Ring Music TheoryMela Gangeyabhusani
6th mode:
Scale 823
Scale 823: Stodian, Ian Ring Music TheoryStodianThis is the prime mode
7th mode:
Scale 2459
Scale 2459: Ionocrian, Ian Ring Music TheoryIonocrian

Prime

The prime form of this scale is Scale 823

Scale 823Scale 823: Stodian, Ian Ring Music TheoryStodian

Complement

The heptatonic modal family [3277, 1843, 2969, 883, 2489, 823, 2459] (Forte: 7-21) is the complement of the pentatonic modal family [307, 787, 817, 2201, 2441] (Forte: 5-21)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3277 is 1639

Scale 1639Scale 1639: Aeolothian, Ian Ring Music TheoryAeolothian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3277 is chiral, and its enantiomorph is scale 1639

Scale 1639Scale 1639: Aeolothian, Ian Ring Music TheoryAeolothian

Transformations:

T0 3277  T0I 1639
T1 2459  T1I 3278
T2 823  T2I 2461
T3 1646  T3I 827
T4 3292  T4I 1654
T5 2489  T5I 3308
T6 883  T6I 2521
T7 1766  T7I 947
T8 3532  T8I 1894
T9 2969  T9I 3788
T10 1843  T10I 3481
T11 3686  T11I 2867

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 3279Scale 3279: Pythyllic, Ian Ring Music TheoryPythyllic
Scale 3273Scale 3273: Raga Jivantini, Ian Ring Music TheoryRaga Jivantini
Scale 3275Scale 3275: Mela Divyamani, Ian Ring Music TheoryMela Divyamani
Scale 3269Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani
Scale 3285Scale 3285: Mela Citrambari, Ian Ring Music TheoryMela Citrambari
Scale 3293Scale 3293: Saryllic, Ian Ring Music TheorySaryllic
Scale 3309Scale 3309: Bycryllic, Ian Ring Music TheoryBycryllic
Scale 3213Scale 3213: Eponimic, Ian Ring Music TheoryEponimic
Scale 3245Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya
Scale 3149Scale 3149: Phrycrimic, Ian Ring Music TheoryPhrycrimic
Scale 3405Scale 3405: Stynian, Ian Ring Music TheoryStynian
Scale 3533Scale 3533: Thadyllic, Ian Ring Music TheoryThadyllic
Scale 3789Scale 3789: Eporyllic, Ian Ring Music TheoryEporyllic
Scale 2253Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya
Scale 2765Scale 2765: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
Scale 1229Scale 1229: Raga Simharava, Ian Ring Music TheoryRaga Simharava

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.