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Scale 3815: "Galygic"

Scale 3815: Galygic, 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
Galygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,5,6,7,9,10,11}
Forte Number9-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3311
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 959
Deep Scaleno
Interval Vector766773
Interval Spectrump7m7n6s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setno
Interior Area2.683
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3815 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3955
Scale 3955: Pothygic, Ian Ring Music TheoryPothygic
3rd mode:
Scale 4025
Scale 4025: Kalygic, Ian Ring Music TheoryKalygic
4th mode:
Scale 1015
Scale 1015: Ionodygic, Ian Ring Music TheoryIonodygic
5th mode:
Scale 2555
Scale 2555: Bythygic, Ian Ring Music TheoryBythygic
6th mode:
Scale 3325
Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic
7th mode:
Scale 1855
Scale 1855: Gaptygic, Ian Ring Music TheoryGaptygic
8th mode:
Scale 2975
Scale 2975: Aeroptygic, Ian Ring Music TheoryAeroptygic
9th mode:
Scale 3535
Scale 3535: Mylygic, Ian Ring Music TheoryMylygic

Prime

The prime form of this scale is Scale 959

Scale 959Scale 959: Katylygic, Ian Ring Music TheoryKatylygic

Complement

The nonatonic modal family [3815, 3955, 4025, 1015, 2555, 3325, 1855, 2975, 3535] (Forte: 9-4) is the complement of the tritonic modal family [35, 385, 2065] (Forte: 3-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3815 is 3311

Scale 3311Scale 3311: Mixodygic, Ian Ring Music TheoryMixodygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3815 is chiral, and its enantiomorph is scale 3311

Scale 3311Scale 3311: Mixodygic, Ian Ring Music TheoryMixodygic

Transformations:

T0 3815  T0I 3311
T1 3535  T1I 2527
T2 2975  T2I 959
T3 1855  T3I 1918
T4 3710  T4I 3836
T5 3325  T5I 3577
T6 2555  T6I 3059
T7 1015  T7I 2023
T8 2030  T8I 4046
T9 4060  T9I 3997
T10 4025  T10I 3899
T11 3955  T11I 3703

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 3813Scale 3813: Aeologyllic, Ian Ring Music TheoryAeologyllic
Scale 3811Scale 3811: Epogyllic, Ian Ring Music TheoryEpogyllic
Scale 3819Scale 3819: Aeolanygic, Ian Ring Music TheoryAeolanygic
Scale 3823Scale 3823: Epinyllian, Ian Ring Music TheoryEpinyllian
Scale 3831Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian
Scale 3783Scale 3783: Phrygyllic, Ian Ring Music TheoryPhrygyllic
Scale 3799Scale 3799: Aeralygic, Ian Ring Music TheoryAeralygic
Scale 3751Scale 3751: Aerathyllic, Ian Ring Music TheoryAerathyllic
Scale 3687Scale 3687: Zonyllic, Ian Ring Music TheoryZonyllic
Scale 3943Scale 3943: Zynygic, Ian Ring Music TheoryZynygic
Scale 4071Scale 4071: Rygyllian, Ian Ring Music TheoryRygyllian
Scale 3303Scale 3303: Mylyllic, Ian Ring Music TheoryMylyllic
Scale 3559Scale 3559: Thophygic, Ian Ring Music TheoryThophygic
Scale 2791Scale 2791: Mixothyllic, Ian Ring Music TheoryMixothyllic
Scale 1767Scale 1767: Dyryllic, Ian Ring Music TheoryDyryllic

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.