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Scale 3239: "Mela Tanarupi"

Scale 3239: Mela Tanarupi, 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 Tanarupi
Carnatic Raga
Raga Tanukirti
Zeitler
Epythian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,5,7,10,11}
Forte Number7-Z12
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 671
Deep Scaleno
Interval Vector444342
Interval Spectrump4m3n4s4d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,4,5}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {7,8,10}
<6> = {9,10,11}
Spectra Variation2.857
Maximally Evenno
Maximal Area Setno
Interior Area2.433
Myhill Propertyno
Balancedno
Ridge Tones[0]
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 TriadsG{7,11,2}231.5
A♯{10,2,5}321.17
Minor Triadsgm{7,10,2}321.17
a♯m{10,1,5}231.5
Diminished Triads{7,10,1}231.5
{11,2,5}231.5
Parsimonious Voice Leading Between Common Triads of Scale 3239. Created by Ian Ring ©2019 gm gm g°->gm a#m a#m g°->a#m Parsimonious Voice Leading Between Common Triads of Scale 3239. Created by Ian Ring ©2019 G gm->G A# A# gm->A# G->b° a#m->A# A#->b°

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 Verticesgm, A♯
Peripheral Verticesg°, G, a♯m, b°

Modes

Modes are the rotational transformation of this scale. Scale 3239 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3667
Scale 3667: Kaptian, Ian Ring Music TheoryKaptian
3rd mode:
Scale 3881
Scale 3881: Morian, Ian Ring Music TheoryMorian
4th mode:
Scale 997
Scale 997: Rycrian, Ian Ring Music TheoryRycrian
5th mode:
Scale 1273
Scale 1273: Ronian, Ian Ring Music TheoryRonian
6th mode:
Scale 671
Scale 671: Stycrian, Ian Ring Music TheoryStycrianThis is the prime mode
7th mode:
Scale 2383
Scale 2383: Katorian, Ian Ring Music TheoryKatorian

Prime

The prime form of this scale is Scale 671

Scale 671Scale 671: Stycrian, Ian Ring Music TheoryStycrian

Complement

The heptatonic modal family [3239, 3667, 3881, 997, 1273, 671, 2383] (Forte: 7-Z12) is the complement of the pentatonic modal family [107, 1411, 1549, 2101, 2753] (Forte: 5-Z12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3239 is itself, because it is a palindromic scale!

Scale 3239Scale 3239: Mela Tanarupi, Ian Ring Music TheoryMela Tanarupi

Transformations:

T0 3239  T0I 3239
T1 2383  T1I 2383
T2 671  T2I 671
T3 1342  T3I 1342
T4 2684  T4I 2684
T5 1273  T5I 1273
T6 2546  T6I 2546
T7 997  T7I 997
T8 1994  T8I 1994
T9 3988  T9I 3988
T10 3881  T10I 3881
T11 3667  T11I 3667

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 3237Scale 3237: Raga Brindabani Sarang, Ian Ring Music TheoryRaga Brindabani Sarang
Scale 3235Scale 3235: Pothimic, Ian Ring Music TheoryPothimic
Scale 3243Scale 3243: Mela Rupavati, Ian Ring Music TheoryMela Rupavati
Scale 3247Scale 3247: Aeolonyllic, Ian Ring Music TheoryAeolonyllic
Scale 3255Scale 3255: Daryllic, Ian Ring Music TheoryDaryllic
Scale 3207Scale 3207, Ian Ring Music Theory
Scale 3223Scale 3223: Thyphian, Ian Ring Music TheoryThyphian
Scale 3271Scale 3271: Mela Raghupriya, Ian Ring Music TheoryMela Raghupriya
Scale 3303Scale 3303: Mylyllic, Ian Ring Music TheoryMylyllic
Scale 3111Scale 3111, Ian Ring Music Theory
Scale 3175Scale 3175: Eponian, Ian Ring Music TheoryEponian
Scale 3367Scale 3367: Moptian, Ian Ring Music TheoryMoptian
Scale 3495Scale 3495: Banyllic, Ian Ring Music TheoryBanyllic
Scale 3751Scale 3751: Aerathyllic, Ian Ring Music TheoryAerathyllic
Scale 2215Scale 2215: Ranimic, Ian Ring Music TheoryRanimic
Scale 2727Scale 2727: Mela Manavati, Ian Ring Music TheoryMela Manavati
Scale 1191Scale 1191: Pyrimic, Ian Ring Music TheoryPyrimic

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.