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Scale 2507: "Todi That"

Scale 2507: Todi That, 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

Hindustani
Todi That
Todi Theta
Carnatic Mela
Mela Shubhapantuvarali
Carnatic Raga
Raga Multani
Gamakasamantam
Western Modern
Harsh Minor
Western Chromatic
Chromatic Lydian Inverse
Arabic
Maqam Athar Kurd
Zeitler
Ionyphian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,6,7,8,11}
Forte Number7-20
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2675
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes6
Prime?no
prime: 743
Deep Scaleno
Interval Vector433452
Interval Spectrump5m4n3s3d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setno
Interior Area2.433
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2507 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3301
Scale 3301: Chromatic Mixolydian Inverse, Ian Ring Music TheoryChromatic Mixolydian Inverse
3rd mode:
Scale 1849
Scale 1849: Chromatic Hypodorian Inverse, Ian Ring Music TheoryChromatic Hypodorian Inverse
4th mode:
Scale 743
Scale 743: Chromatic Hypophrygian Inverse, Ian Ring Music TheoryChromatic Hypophrygian InverseThis is the prime mode
5th mode:
Scale 2419
Scale 2419: Raga Lalita, Ian Ring Music TheoryRaga Lalita
6th mode:
Scale 3257
Scale 3257: Mela Calanata, Ian Ring Music TheoryMela Calanata
7th mode:
Scale 919
Scale 919: Chromatic Phrygian Inverse, Ian Ring Music TheoryChromatic Phrygian Inverse

Prime

The prime form of this scale is Scale 743

Scale 743Scale 743: Chromatic Hypophrygian Inverse, Ian Ring Music TheoryChromatic Hypophrygian Inverse

Complement

The heptatonic modal family [2507, 3301, 1849, 743, 2419, 3257, 919] (Forte: 7-20) is the complement of the pentatonic modal family [355, 395, 1585, 2225, 2245] (Forte: 5-20)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2507 is 2675

Scale 2675Scale 2675: Chromatic Lydian, Ian Ring Music TheoryChromatic Lydian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2507 is chiral, and its enantiomorph is scale 2675

Scale 2675Scale 2675: Chromatic Lydian, Ian Ring Music TheoryChromatic Lydian

Transformations:

T0 2507  T0I 2675
T1 919  T1I 1255
T2 1838  T2I 2510
T3 3676  T3I 925
T4 3257  T4I 1850
T5 2419  T5I 3700
T6 743  T6I 3305
T7 1486  T7I 2515
T8 2972  T8I 935
T9 1849  T9I 1870
T10 3698  T10I 3740
T11 3301  T11I 3385

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 2505Scale 2505: Mydimic, Ian Ring Music TheoryMydimic
Scale 2509Scale 2509: Double Harmonic Minor, Ian Ring Music TheoryDouble Harmonic Minor
Scale 2511Scale 2511: Aeroptyllic, Ian Ring Music TheoryAeroptyllic
Scale 2499Scale 2499, Ian Ring Music Theory
Scale 2503Scale 2503: Mela Jhalavarali, Ian Ring Music TheoryMela Jhalavarali
Scale 2515Scale 2515: Chromatic Hypolydian, Ian Ring Music TheoryChromatic Hypolydian
Scale 2523Scale 2523: Rygyllic, Ian Ring Music TheoryRygyllic
Scale 2539Scale 2539: Half-Diminished Bebop, Ian Ring Music TheoryHalf-Diminished Bebop
Scale 2443Scale 2443: Panimic, Ian Ring Music TheoryPanimic
Scale 2475Scale 2475: Neapolitan Minor, Ian Ring Music TheoryNeapolitan Minor
Scale 2379Scale 2379: Raga Gurjari Todi, Ian Ring Music TheoryRaga Gurjari Todi
Scale 2251Scale 2251: Zodimic, Ian Ring Music TheoryZodimic
Scale 2763Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi
Scale 3019Scale 3019, Ian Ring Music Theory
Scale 3531Scale 3531: Neveseri, Ian Ring Music TheoryNeveseri
Scale 459Scale 459: Zaptimic, Ian Ring Music TheoryZaptimic
Scale 1483Scale 1483: Mela Bhavapriya, Ian Ring Music TheoryMela Bhavapriya

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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.