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Scale 3739: "Epanyllic"

Scale 3739: Epanyllic, 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
Epanyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,3,4,7,9,10,11}
Forte Number8-12
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2863
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 763
Deep Scaleno
Interval Vector556543
Interval Spectrump4m5n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,6}
<4> = {4,5,7,8}
<5> = {6,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3739 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3917
Scale 3917: Katoptyllic, Ian Ring Music TheoryKatoptyllic
3rd mode:
Scale 2003
Scale 2003: Podyllic, Ian Ring Music TheoryPodyllic
4th mode:
Scale 3049
Scale 3049: Phrydyllic, Ian Ring Music TheoryPhrydyllic
5th mode:
Scale 893
Scale 893: Dadyllic, Ian Ring Music TheoryDadyllic
6th mode:
Scale 1247
Scale 1247: Aeodyllic, Ian Ring Music TheoryAeodyllic
7th mode:
Scale 2671
Scale 2671: Aerolyllic, Ian Ring Music TheoryAerolyllic
8th mode:
Scale 3383
Scale 3383: Zoptyllic, Ian Ring Music TheoryZoptyllic

Prime

The prime form of this scale is Scale 763

Scale 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic

Complement

The octatonic modal family [3739, 3917, 2003, 3049, 893, 1247, 2671, 3383] (Forte: 8-12) is the complement of the tetratonic modal family [77, 833, 1043, 2569] (Forte: 4-12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3739 is 2863

Scale 2863Scale 2863: Aerogyllic, Ian Ring Music TheoryAerogyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3739 is chiral, and its enantiomorph is scale 2863

Scale 2863Scale 2863: Aerogyllic, Ian Ring Music TheoryAerogyllic

Transformations:

T0 3739  T0I 2863
T1 3383  T1I 1631
T2 2671  T2I 3262
T3 1247  T3I 2429
T4 2494  T4I 763
T5 893  T5I 1526
T6 1786  T6I 3052
T7 3572  T7I 2009
T8 3049  T8I 4018
T9 2003  T9I 3941
T10 4006  T10I 3787
T11 3917  T11I 3479

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 3737Scale 3737: Phrocrian, Ian Ring Music TheoryPhrocrian
Scale 3741Scale 3741: Zydyllic, Ian Ring Music TheoryZydyllic
Scale 3743Scale 3743: Thadygic, Ian Ring Music TheoryThadygic
Scale 3731Scale 3731: Aeryrian, Ian Ring Music TheoryAeryrian
Scale 3735Scale 3735, Ian Ring Music Theory
Scale 3723Scale 3723: Myptian, Ian Ring Music TheoryMyptian
Scale 3755Scale 3755: Phryryllic, Ian Ring Music TheoryPhryryllic
Scale 3771Scale 3771: Katodyllian, Ian Ring Music TheoryKatodyllian
Scale 3803Scale 3803: Epidygic, Ian Ring Music TheoryEpidygic
Scale 3611Scale 3611, Ian Ring Music Theory
Scale 3675Scale 3675: Monyllic, Ian Ring Music TheoryMonyllic
Scale 3867Scale 3867: Storyllic, Ian Ring Music TheoryStoryllic
Scale 3995Scale 3995: Ionygic, Ian Ring Music TheoryIonygic
Scale 3227Scale 3227: Aeolocrian, Ian Ring Music TheoryAeolocrian
Scale 3483Scale 3483: Mixotharyllic, Ian Ring Music TheoryMixotharyllic
Scale 2715Scale 2715: Kynian, Ian Ring Music TheoryKynian
Scale 1691Scale 1691: Kathian, Ian Ring Music TheoryKathian

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.