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Scale 3803: "Epidygic"

Scale 3803: Epidygic, 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
Epidygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,3,4,6,7,9,10,11}
Forte Number9-10
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes8
Prime?no
prime: 1759
Deep Scaleno
Interval Vector668664
Interval Spectrump6m6n8s6d6t4
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {9,10}
<8> = {10,11}
Spectra Variation1.333
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[10]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3803 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3949
Scale 3949: Koptygic, Ian Ring Music TheoryKoptygic
3rd mode:
Scale 2011
Scale 2011: Raphygic, Ian Ring Music TheoryRaphygic
4th mode:
Scale 3053
Scale 3053: Zycrygic, Ian Ring Music TheoryZycrygic
5th mode:
Scale 1787
Scale 1787: Mycrygic, Ian Ring Music TheoryMycrygic
6th mode:
Scale 2941
Scale 2941: Laptygic, Ian Ring Music TheoryLaptygic
7th mode:
Scale 1759
Scale 1759: Pylygic, Ian Ring Music TheoryPylygicThis is the prime mode
8th mode:
Scale 2927
Scale 2927: Rodygic, Ian Ring Music TheoryRodygic
9th mode:
Scale 3511
Scale 3511: Epolygic, Ian Ring Music TheoryEpolygic

Prime

The prime form of this scale is Scale 1759

Scale 1759Scale 1759: Pylygic, Ian Ring Music TheoryPylygic

Complement

The nonatonic modal family [3803, 3949, 2011, 3053, 1787, 2941, 1759, 2927, 3511] (Forte: 9-10) is the complement of the tritonic modal family [73, 521, 577] (Forte: 3-10)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3803 is 2927

Scale 2927Scale 2927: Rodygic, Ian Ring Music TheoryRodygic

Transformations:

T0 3803  T0I 2927
T1 3511  T1I 1759
T2 2927  T2I 3518
T3 1759  T3I 2941
T4 3518  T4I 1787
T5 2941  T5I 3574
T6 1787  T6I 3053
T7 3574  T7I 2011
T8 3053  T8I 4022
T9 2011  T9I 3949
T10 4022  T10I 3803
T11 3949  T11I 3511

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 3801Scale 3801: Maptyllic, Ian Ring Music TheoryMaptyllic
Scale 3805Scale 3805: Moptygic, Ian Ring Music TheoryMoptygic
Scale 3807Scale 3807: Bagyllian, Ian Ring Music TheoryBagyllian
Scale 3795Scale 3795: Epothyllic, Ian Ring Music TheoryEpothyllic
Scale 3799Scale 3799: Aeralygic, Ian Ring Music TheoryAeralygic
Scale 3787Scale 3787: Kagyllic, Ian Ring Music TheoryKagyllic
Scale 3819Scale 3819: Aeolanygic, Ian Ring Music TheoryAeolanygic
Scale 3835Scale 3835, Ian Ring Music Theory
Scale 3739Scale 3739: Epanyllic, Ian Ring Music TheoryEpanyllic
Scale 3771Scale 3771: Katodyllian, Ian Ring Music TheoryKatodyllian
Scale 3675Scale 3675: Monyllic, Ian Ring Music TheoryMonyllic
Scale 3931Scale 3931: Aerygic, Ian Ring Music TheoryAerygic
Scale 4059Scale 4059: Zolyllian, Ian Ring Music TheoryZolyllian
Scale 3291Scale 3291: Lygyllic, Ian Ring Music TheoryLygyllic
Scale 3547Scale 3547: Sadygic, Ian Ring Music TheorySadygic
Scale 2779Scale 2779: Shostakovich, Ian Ring Music TheoryShostakovich
Scale 1755Scale 1755: Octatonic, Ian Ring Music TheoryOctatonic

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