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Scale 1989: "Dydian"

Scale 1989: Dydian, 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
Dydian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,6,7,8,9,10}
Forte Number7-9
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1149
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes6
Prime?no
prime: 351
Deep Scaleno
Interval Vector453432
Interval Spectrump3m4n3s5d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5,6}
<3> = {3,4,5,6,7,8}
<4> = {4,5,6,7,8,9}
<5> = {6,7,8,9,10}
<6> = {8,10,11}
Spectra Variation3.429
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1989 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1521
Scale 1521: Stanian, Ian Ring Music TheoryStanian
3rd mode:
Scale 351
Scale 351: Epanian, Ian Ring Music TheoryEpanianThis is the prime mode
4th mode:
Scale 2223
Scale 2223: Konian, Ian Ring Music TheoryKonian
5th mode:
Scale 3159
Scale 3159: Stocrian, Ian Ring Music TheoryStocrian
6th mode:
Scale 3627
Scale 3627: Kalian, Ian Ring Music TheoryKalian
7th mode:
Scale 3861
Scale 3861: Phroptian, Ian Ring Music TheoryPhroptian

Prime

The prime form of this scale is Scale 351

Scale 351Scale 351: Epanian, Ian Ring Music TheoryEpanian

Complement

The heptatonic modal family [1989, 1521, 351, 2223, 3159, 3627, 3861] (Forte: 7-9) is the complement of the pentatonic modal family [87, 1473, 1797, 2091, 3093] (Forte: 5-9)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1989 is 1149

Scale 1149Scale 1149: Bydian, Ian Ring Music TheoryBydian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1989 is chiral, and its enantiomorph is scale 1149

Scale 1149Scale 1149: Bydian, Ian Ring Music TheoryBydian

Transformations:

T0 1989  T0I 1149
T1 3978  T1I 2298
T2 3861  T2I 501
T3 3627  T3I 1002
T4 3159  T4I 2004
T5 2223  T5I 4008
T6 351  T6I 3921
T7 702  T7I 3747
T8 1404  T8I 3399
T9 2808  T9I 2703
T10 1521  T10I 1311
T11 3042  T11I 2622

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 1991Scale 1991: Phryptyllic, Ian Ring Music TheoryPhryptyllic
Scale 1985Scale 1985, Ian Ring Music Theory
Scale 1987Scale 1987, Ian Ring Music Theory
Scale 1993Scale 1993: Katoptian, Ian Ring Music TheoryKatoptian
Scale 1997Scale 1997: Raga Cintamani, Ian Ring Music TheoryRaga Cintamani
Scale 2005Scale 2005: Gygyllic, Ian Ring Music TheoryGygyllic
Scale 2021Scale 2021: Katycryllic, Ian Ring Music TheoryKatycryllic
Scale 1925Scale 1925, Ian Ring Music Theory
Scale 1957Scale 1957: Pyrian, Ian Ring Music TheoryPyrian
Scale 1861Scale 1861: Phrygimic, Ian Ring Music TheoryPhrygimic
Scale 1733Scale 1733: Raga Sarasvati, Ian Ring Music TheoryRaga Sarasvati
Scale 1477Scale 1477: Raga Jaganmohanam, Ian Ring Music TheoryRaga Jaganmohanam
Scale 965Scale 965: Ionothimic, Ian Ring Music TheoryIonothimic
Scale 3013Scale 3013: Thynian, Ian Ring Music TheoryThynian
Scale 4037Scale 4037: Ionyllic, Ian Ring Music TheoryIonyllic

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.