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Scale 3827: "Bodygic"

Scale 3827: Bodygic, 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
Bodygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,4,5,6,7,9,10,11}
Forte Number9-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2543
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 991
Deep Scaleno
Interval Vector766674
Interval Spectrump7m6n6s6d7t4
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation1.778
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 3827 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3961
Scale 3961: Zathygic, Ian Ring Music TheoryZathygic
3rd mode:
Scale 1007
Scale 1007: Epitygic, Ian Ring Music TheoryEpitygic
4th mode:
Scale 2551
Scale 2551: Thocrygic, Ian Ring Music TheoryThocrygic
5th mode:
Scale 3323
Scale 3323: Lacrygic, Ian Ring Music TheoryLacrygic
6th mode:
Scale 3709
Scale 3709: Katynygic, Ian Ring Music TheoryKatynygic
7th mode:
Scale 1951
Scale 1951: Marygic, Ian Ring Music TheoryMarygic
8th mode:
Scale 3023
Scale 3023: Mothygic, Ian Ring Music TheoryMothygic
9th mode:
Scale 3559
Scale 3559: Thophygic, Ian Ring Music TheoryThophygic

Prime

The prime form of this scale is Scale 991

Scale 991Scale 991: Aeolygic, Ian Ring Music TheoryAeolygic

Complement

The nonatonic modal family [3827, 3961, 1007, 2551, 3323, 3709, 1951, 3023, 3559] (Forte: 9-5) is the complement of the tritonic modal family [67, 193, 2081] (Forte: 3-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3827 is 2543

Scale 2543Scale 2543: Dydygic, Ian Ring Music TheoryDydygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3827 is chiral, and its enantiomorph is scale 2543

Scale 2543Scale 2543: Dydygic, Ian Ring Music TheoryDydygic

Transformations:

T0 3827  T0I 2543
T1 3559  T1I 991
T2 3023  T2I 1982
T3 1951  T3I 3964
T4 3902  T4I 3833
T5 3709  T5I 3571
T6 3323  T6I 3047
T7 2551  T7I 1999
T8 1007  T8I 3998
T9 2014  T9I 3901
T10 4028  T10I 3707
T11 3961  T11I 3319

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 3825Scale 3825: Pynyllic, Ian Ring Music TheoryPynyllic
Scale 3829Scale 3829: Taishikicho, Ian Ring Music TheoryTaishikicho
Scale 3831Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian
Scale 3835Scale 3835, Ian Ring Music Theory
Scale 3811Scale 3811: Epogyllic, Ian Ring Music TheoryEpogyllic
Scale 3819Scale 3819: Aeolanygic, Ian Ring Music TheoryAeolanygic
Scale 3795Scale 3795: Epothyllic, Ian Ring Music TheoryEpothyllic
Scale 3763Scale 3763: Modyllic, Ian Ring Music TheoryModyllic
Scale 3699Scale 3699: Galyllic, Ian Ring Music TheoryGalyllic
Scale 3955Scale 3955: Pothygic, Ian Ring Music TheoryPothygic
Scale 4083Scale 4083: Bathyllian, Ian Ring Music TheoryBathyllian
Scale 3315Scale 3315: Tcherepnin Octatonic Mode 1, Ian Ring Music TheoryTcherepnin Octatonic Mode 1
Scale 3571Scale 3571: Dyrygic, Ian Ring Music TheoryDyrygic
Scale 2803Scale 2803: Raga Bhatiyar, Ian Ring Music TheoryRaga Bhatiyar
Scale 1779Scale 1779: Zynyllic, Ian Ring Music TheoryZynyllic

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.