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Scale 2965: "Darian"

Scale 2965: Darian, 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

Zeitler
Darian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,4,7,8,9,11}
Forte Number7-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1339
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes6
Prime?no
prime: 695
Deep Scaleno
Interval Vector344451
Interval Spectrump5m4n4s4d3t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2965 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1765
Scale 1765: Lonian, Ian Ring Music TheoryLonian
3rd mode:
Scale 1465
Scale 1465: Mela Ragavardhani, Ian Ring Music TheoryMela Ragavardhani
4th mode:
Scale 695
Scale 695: Sarian, Ian Ring Music TheorySarianThis is the prime mode
5th mode:
Scale 2395
Scale 2395: Zoptian, Ian Ring Music TheoryZoptian
6th mode:
Scale 3245
Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya
7th mode:
Scale 1835
Scale 1835: Byptian, Ian Ring Music TheoryByptian

Prime

The prime form of this scale is Scale 695

Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian

Complement

The heptatonic modal family [2965, 1765, 1465, 695, 2395, 3245, 1835] (Forte: 7-27) is the complement of the pentatonic modal family [299, 689, 1417, 1573, 2197] (Forte: 5-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2965 is 1339

Scale 1339Scale 1339: Kycrian, Ian Ring Music TheoryKycrian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2965 is chiral, and its enantiomorph is scale 1339

Scale 1339Scale 1339: Kycrian, Ian Ring Music TheoryKycrian

Transformations:

T0 2965  T0I 1339
T1 1835  T1I 2678
T2 3670  T2I 1261
T3 3245  T3I 2522
T4 2395  T4I 949
T5 695  T5I 1898
T6 1390  T6I 3796
T7 2780  T7I 3497
T8 1465  T8I 2899
T9 2930  T9I 1703
T10 1765  T10I 3406
T11 3530  T11I 2717

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 2967Scale 2967: Madyllic, Ian Ring Music TheoryMadyllic
Scale 2961Scale 2961: Bygimic, Ian Ring Music TheoryBygimic
Scale 2963Scale 2963: Bygian, Ian Ring Music TheoryBygian
Scale 2969Scale 2969: Tholian, Ian Ring Music TheoryTholian
Scale 2973Scale 2973: Panyllic, Ian Ring Music TheoryPanyllic
Scale 2949Scale 2949, Ian Ring Music Theory
Scale 2957Scale 2957: Thygian, Ian Ring Music TheoryThygian
Scale 2981Scale 2981: Ionolian, Ian Ring Music TheoryIonolian
Scale 2997Scale 2997: Major Bebop, Ian Ring Music TheoryMajor Bebop
Scale 3029Scale 3029: Ionocryllic, Ian Ring Music TheoryIonocryllic
Scale 2837Scale 2837: Aelothimic, Ian Ring Music TheoryAelothimic
Scale 2901Scale 2901: Lydian Augmented, Ian Ring Music TheoryLydian Augmented
Scale 2709Scale 2709: Raga Kumud, Ian Ring Music TheoryRaga Kumud
Scale 2453Scale 2453: Raga Latika, Ian Ring Music TheoryRaga Latika
Scale 3477Scale 3477: Kyptian, Ian Ring Music TheoryKyptian
Scale 3989Scale 3989: Sythyllic, Ian Ring Music TheorySythyllic
Scale 917Scale 917: Dygimic, Ian Ring Music TheoryDygimic
Scale 1941Scale 1941: Aeranian, Ian Ring Music TheoryAeranian

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.