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Scale 2001: "Gydian"

Scale 2001: Gydian, 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.

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

Zeitler
Gydian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,4,6,7,8,9,10}
Forte Number7-8
Rotational Symmetrynone
Reflection Axes2
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections5
Modes6
Prime?no
prime: 381
Deep Scaleno
Interval Vector454422
Interval Spectrump2m4n4s5d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,6}
<3> = {3,4,7,8}
<4> = {4,5,8,9}
<5> = {6,9,10}
<6> = {8,10,11}
Spectra Variation3.429
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[4]
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2001 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 381
Scale 381: Kogian, Ian Ring Music TheoryKogianThis is the prime mode
3rd mode:
Scale 1119
Scale 1119: Rarian, Ian Ring Music TheoryRarian
4th mode:
Scale 2607
Scale 2607: Aerolian, Ian Ring Music TheoryAerolian
5th mode:
Scale 3351
Scale 3351: Karian, Ian Ring Music TheoryKarian
6th mode:
Scale 3723
Scale 3723: Myptian, Ian Ring Music TheoryMyptian
7th mode:
Scale 3909
Scale 3909: Rydian, Ian Ring Music TheoryRydian

Prime

The prime form of this scale is Scale 381

Scale 381Scale 381: Kogian, Ian Ring Music TheoryKogian

Complement

The heptatonic modal family [2001, 381, 1119, 2607, 3351, 3723, 3909] (Forte: 7-8) is the complement of the pentatonic modal family [93, 1047, 1857, 2571, 3333] (Forte: 5-8)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2001 is 381

Scale 381Scale 381: Kogian, Ian Ring Music TheoryKogian

Transformations:

T0 2001  T0I 381
T1 4002  T1I 762
T2 3909  T2I 1524
T3 3723  T3I 3048
T4 3351  T4I 2001
T5 2607  T5I 4002
T6 1119  T6I 3909
T7 2238  T7I 3723
T8 381  T8I 3351
T9 762  T9I 2607
T10 1524  T10I 1119
T11 3048  T11I 2238

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 2003Scale 2003: Podyllic, Ian Ring Music TheoryPodyllic
Scale 2005Scale 2005: Gygyllic, Ian Ring Music TheoryGygyllic
Scale 2009Scale 2009: Stacryllic, Ian Ring Music TheoryStacryllic
Scale 1985Scale 1985, Ian Ring Music Theory
Scale 1993Scale 1993: Katoptian, Ian Ring Music TheoryKatoptian
Scale 2017Scale 2017, Ian Ring Music Theory
Scale 2033Scale 2033: Stolyllic, Ian Ring Music TheoryStolyllic
Scale 1937Scale 1937: Galimic, Ian Ring Music TheoryGalimic
Scale 1969Scale 1969: Stylian, Ian Ring Music TheoryStylian
Scale 1873Scale 1873: Dathimic, Ian Ring Music TheoryDathimic
Scale 1745Scale 1745: Raga Vutari, Ian Ring Music TheoryRaga Vutari
Scale 1489Scale 1489: Raga Jyoti, Ian Ring Music TheoryRaga Jyoti
Scale 977Scale 977: Kocrimic, Ian Ring Music TheoryKocrimic
Scale 3025Scale 3025: Epycrian, Ian Ring Music TheoryEpycrian
Scale 4049Scale 4049: Stycryllic, Ian Ring Music TheoryStycryllic

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. Bibliography