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Scale 1939: "Dathian"

Scale 1939: Dathian, 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
Dathian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,4,7,8,9,10}
Forte Number7-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2365
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 623
Deep Scaleno
Interval Vector435432
Interval Spectrump3m4n5s3d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,6}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {6,8,9,10}
<6> = {9,10,11}
Spectra Variation2.857
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1939 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3017
Scale 3017: Gacrian, Ian Ring Music TheoryGacrian
3rd mode:
Scale 889
Scale 889: Borian, Ian Ring Music TheoryBorian
4th mode:
Scale 623
Scale 623: Sycrian, Ian Ring Music TheorySycrianThis is the prime mode
5th mode:
Scale 2359
Scale 2359: Gadian, Ian Ring Music TheoryGadian
6th mode:
Scale 3227
Scale 3227: Aeolocrian, Ian Ring Music TheoryAeolocrian
7th mode:
Scale 3661
Scale 3661: Mixodorian, Ian Ring Music TheoryMixodorian

Prime

The prime form of this scale is Scale 623

Scale 623Scale 623: Sycrian, Ian Ring Music TheorySycrian

Complement

The heptatonic modal family [1939, 3017, 889, 623, 2359, 3227, 3661] (Forte: 7-16) is the complement of the pentatonic modal family [155, 865, 1555, 2125, 2825] (Forte: 5-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1939 is 2365

Scale 2365Scale 2365: Sythian, Ian Ring Music TheorySythian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1939 is chiral, and its enantiomorph is scale 2365

Scale 2365Scale 2365: Sythian, Ian Ring Music TheorySythian

Transformations:

T0 1939  T0I 2365
T1 3878  T1I 635
T2 3661  T2I 1270
T3 3227  T3I 2540
T4 2359  T4I 985
T5 623  T5I 1970
T6 1246  T6I 3940
T7 2492  T7I 3785
T8 889  T8I 3475
T9 1778  T9I 2855
T10 3556  T10I 1615
T11 3017  T11I 3230

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 1937Scale 1937: Galimic, Ian Ring Music TheoryGalimic
Scale 1941Scale 1941: Aeranian, Ian Ring Music TheoryAeranian
Scale 1943Scale 1943, Ian Ring Music Theory
Scale 1947Scale 1947: Byptyllic, Ian Ring Music TheoryByptyllic
Scale 1923Scale 1923, Ian Ring Music Theory
Scale 1931Scale 1931: Stogian, Ian Ring Music TheoryStogian
Scale 1955Scale 1955: Sonian, Ian Ring Music TheorySonian
Scale 1971Scale 1971: Aerynyllic, Ian Ring Music TheoryAerynyllic
Scale 2003Scale 2003: Podyllic, Ian Ring Music TheoryPodyllic
Scale 1811Scale 1811: Kyptimic, Ian Ring Music TheoryKyptimic
Scale 1875Scale 1875: Persichetti Scale, Ian Ring Music TheoryPersichetti Scale
Scale 1683Scale 1683: Raga Malayamarutam, Ian Ring Music TheoryRaga Malayamarutam
Scale 1427Scale 1427: Lolimic, Ian Ring Music TheoryLolimic
Scale 915Scale 915: Raga Kalagada, Ian Ring Music TheoryRaga Kalagada
Scale 2963Scale 2963: Bygian, Ian Ring Music TheoryBygian
Scale 3987Scale 3987: Loryllic, Ian Ring Music TheoryLoryllic

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.