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Scale 2531: "Danian"

Scale 2531: Danian, 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
Danian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,5,6,7,8,11}
Forte Number7-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2291
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes6
Prime?no
prime: 463
Deep Scaleno
Interval Vector532353
Interval Spectrump5m3n2s3d5t3
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5}
<3> = {3,5,6}
<4> = {6,7,9}
<5> = {7,8,10}
<6> = {8,9,11}
Spectra Variation2.571
Maximally Evenno
Maximal Area Setno
Interior Area2.183
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2531 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3313
Scale 3313: Aeolacrian, Ian Ring Music TheoryAeolacrian
3rd mode:
Scale 463
Scale 463: Zythian, Ian Ring Music TheoryZythianThis is the prime mode
4th mode:
Scale 2279
Scale 2279: Dyrian, Ian Ring Music TheoryDyrian
5th mode:
Scale 3187
Scale 3187: Koptian, Ian Ring Music TheoryKoptian
6th mode:
Scale 3641
Scale 3641: Thocrian, Ian Ring Music TheoryThocrian
7th mode:
Scale 967
Scale 967: Mela Salaga, Ian Ring Music TheoryMela Salaga

Prime

The prime form of this scale is Scale 463

Scale 463Scale 463: Zythian, Ian Ring Music TheoryZythian

Complement

The heptatonic modal family [2531, 3313, 463, 2279, 3187, 3641, 967] (Forte: 7-7) is the complement of the pentatonic modal family [199, 451, 2147, 2273, 3121] (Forte: 5-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2531 is 2291

Scale 2291Scale 2291: Zydian, Ian Ring Music TheoryZydian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2531 is chiral, and its enantiomorph is scale 2291

Scale 2291Scale 2291: Zydian, Ian Ring Music TheoryZydian

Transformations:

T0 2531  T0I 2291
T1 967  T1I 487
T2 1934  T2I 974
T3 3868  T3I 1948
T4 3641  T4I 3896
T5 3187  T5I 3697
T6 2279  T6I 3299
T7 463  T7I 2503
T8 926  T8I 911
T9 1852  T9I 1822
T10 3704  T10I 3644
T11 3313  T11I 3193

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 2529Scale 2529, Ian Ring Music Theory
Scale 2533Scale 2533: Podian, Ian Ring Music TheoryPodian
Scale 2535Scale 2535: Messiaen Mode 4, Ian Ring Music TheoryMessiaen Mode 4
Scale 2539Scale 2539: Half-Diminished Bebop, Ian Ring Music TheoryHalf-Diminished Bebop
Scale 2547Scale 2547: Raga Ramkali, Ian Ring Music TheoryRaga Ramkali
Scale 2499Scale 2499, Ian Ring Music Theory
Scale 2515Scale 2515: Chromatic Hypolydian, Ian Ring Music TheoryChromatic Hypolydian
Scale 2467Scale 2467: Raga Padi, Ian Ring Music TheoryRaga Padi
Scale 2403Scale 2403: Lycrimic, Ian Ring Music TheoryLycrimic
Scale 2275Scale 2275: Messiaen Mode 5, Ian Ring Music TheoryMessiaen Mode 5
Scale 2787Scale 2787: Zyrian, Ian Ring Music TheoryZyrian
Scale 3043Scale 3043: Ionayllic, Ian Ring Music TheoryIonayllic
Scale 3555Scale 3555: Pylyllic, Ian Ring Music TheoryPylyllic
Scale 483Scale 483: Kygimic, Ian Ring Music TheoryKygimic
Scale 1507Scale 1507: Zynian, Ian Ring Music TheoryZynian

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.