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Scale 3631: "Gydyllic"

Scale 3631: Gydyllic, 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

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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
Gydyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,5,9,10,11}
Forte Number8-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3727
Hemitonia6 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections4
Modes7
Prime?no
prime: 383
Deep Scaleno
Interval Vector665542
Interval Spectrump4m5n5s6d6t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,6,7}
<4> = {4,5,7,8}
<5> = {5,6,8,9}
<6> = {6,7,9,10}
<7> = {8,10,11}
Spectra Variation3.25
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3631 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3863
Scale 3863: Eparyllic, Ian Ring Music TheoryEparyllic
3rd mode:
Scale 3979
Scale 3979: Dynyllic, Ian Ring Music TheoryDynyllic
4th mode:
Scale 4037
Scale 4037: Ionyllic, Ian Ring Music TheoryIonyllic
5th mode:
Scale 2033
Scale 2033: Stolyllic, Ian Ring Music TheoryStolyllic
6th mode:
Scale 383
Scale 383: Logyllic, Ian Ring Music TheoryLogyllicThis is the prime mode
7th mode:
Scale 2239
Scale 2239: Dacryllic, Ian Ring Music TheoryDacryllic
8th mode:
Scale 3167
Scale 3167: Thynyllic, Ian Ring Music TheoryThynyllic

Prime

The prime form of this scale is Scale 383

Scale 383Scale 383: Logyllic, Ian Ring Music TheoryLogyllic

Complement

The octatonic modal family [3631, 3863, 3979, 4037, 2033, 383, 2239, 3167] (Forte: 8-2) is the complement of the tetratonic modal family [23, 1793, 2059, 3077] (Forte: 4-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3631 is 3727

Scale 3727Scale 3727: Tholyllic, Ian Ring Music TheoryTholyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3631 is chiral, and its enantiomorph is scale 3727

Scale 3727Scale 3727: Tholyllic, Ian Ring Music TheoryTholyllic

Transformations:

T0 3631  T0I 3727
T1 3167  T1I 3359
T2 2239  T2I 2623
T3 383  T3I 1151
T4 766  T4I 2302
T5 1532  T5I 509
T6 3064  T6I 1018
T7 2033  T7I 2036
T8 4066  T8I 4072
T9 4037  T9I 4049
T10 3979  T10I 4003
T11 3863  T11I 3911

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 3629Scale 3629: Boptian, Ian Ring Music TheoryBoptian
Scale 3627Scale 3627: Kalian, Ian Ring Music TheoryKalian
Scale 3623Scale 3623: Aerocrian, Ian Ring Music TheoryAerocrian
Scale 3639Scale 3639: Paptyllic, Ian Ring Music TheoryPaptyllic
Scale 3647Scale 3647: Eporygic, Ian Ring Music TheoryEporygic
Scale 3599Scale 3599, Ian Ring Music Theory
Scale 3615Scale 3615, Ian Ring Music Theory
Scale 3663Scale 3663: Sonyllic, Ian Ring Music TheorySonyllic
Scale 3695Scale 3695: Kodygic, Ian Ring Music TheoryKodygic
Scale 3759Scale 3759: Darygic, Ian Ring Music TheoryDarygic
Scale 3887Scale 3887: Phrathygic, Ian Ring Music TheoryPhrathygic
Scale 3119Scale 3119, Ian Ring Music Theory
Scale 3375Scale 3375, Ian Ring Music Theory
Scale 2607Scale 2607: Aerolian, Ian Ring Music TheoryAerolian
Scale 1583Scale 1583: Salian, Ian Ring Music TheorySalian

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.