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Scale 3679: "Rycrygic"

Scale 3679: Rycrygic, 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

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
Rycrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,6,9,10,11}
Forte Number9-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3919
Hemitonia7 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 767
Deep Scaleno
Interval Vector777663
Interval Spectrump6m6n7s7d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {7,8,9,10}
<8> = {9,10,11}
Spectra Variation2.444
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3679 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3887
Scale 3887: Phrathygic, Ian Ring Music TheoryPhrathygic
3rd mode:
Scale 3991
Scale 3991: Badygic, Ian Ring Music TheoryBadygic
4th mode:
Scale 4043
Scale 4043: Phrocrygic, Ian Ring Music TheoryPhrocrygic
5th mode:
Scale 4069
Scale 4069: Starygic, Ian Ring Music TheoryStarygic
6th mode:
Scale 2041
Scale 2041: Aeolacrygic, Ian Ring Music TheoryAeolacrygic
7th mode:
Scale 767
Scale 767: Raptygic, Ian Ring Music TheoryRaptygicThis is the prime mode
8th mode:
Scale 2431
Scale 2431: Gythygic, Ian Ring Music TheoryGythygic
9th mode:
Scale 3263
Scale 3263: Pyrygic, Ian Ring Music TheoryPyrygic

Prime

The prime form of this scale is Scale 767

Scale 767Scale 767: Raptygic, Ian Ring Music TheoryRaptygic

Complement

The nonatonic modal family [3679, 3887, 3991, 4043, 4069, 2041, 767, 2431, 3263] (Forte: 9-2) is the complement of the tritonic modal family [11, 1537, 2053] (Forte: 3-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3679 is 3919

Scale 3919Scale 3919: Lynygic, Ian Ring Music TheoryLynygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3679 is chiral, and its enantiomorph is scale 3919

Scale 3919Scale 3919: Lynygic, Ian Ring Music TheoryLynygic

Transformations:

T0 3679  T0I 3919
T1 3263  T1I 3743
T2 2431  T2I 3391
T3 767  T3I 2687
T4 1534  T4I 1279
T5 3068  T5I 2558
T6 2041  T6I 1021
T7 4082  T7I 2042
T8 4069  T8I 4084
T9 4043  T9I 4073
T10 3991  T10I 4051
T11 3887  T11I 4007

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 3677Scale 3677, Ian Ring Music Theory
Scale 3675Scale 3675: Monyllic, Ian Ring Music TheoryMonyllic
Scale 3671Scale 3671: Aeonyllic, Ian Ring Music TheoryAeonyllic
Scale 3663Scale 3663: Sonyllic, Ian Ring Music TheorySonyllic
Scale 3695Scale 3695: Kodygic, Ian Ring Music TheoryKodygic
Scale 3711Scale 3711: Dycryllian, Ian Ring Music TheoryDycryllian
Scale 3615Scale 3615, Ian Ring Music Theory
Scale 3647Scale 3647: Eporygic, Ian Ring Music TheoryEporygic
Scale 3743Scale 3743: Thadygic, Ian Ring Music TheoryThadygic
Scale 3807Scale 3807: Bagyllian, Ian Ring Music TheoryBagyllian
Scale 3935Scale 3935: Kataphyllian, Ian Ring Music TheoryKataphyllian
Scale 3167Scale 3167: Thynyllic, Ian Ring Music TheoryThynyllic
Scale 3423Scale 3423: Lothygic, Ian Ring Music TheoryLothygic
Scale 2655Scale 2655, Ian Ring Music Theory
Scale 1631Scale 1631: Rynyllic, Ian Ring Music TheoryRynyllic

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