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Scale 3795: "Epothyllic"

Scale 3795: Epothyllic, 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
Epothyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,4,6,7,9,10,11}
Forte Number8-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2415
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 735
Deep Scaleno
Interval Vector556453
Interval Spectrump5m4n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<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 3795 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3945
Scale 3945: Lydyllic, Ian Ring Music TheoryLydyllic
3rd mode:
Scale 1005
Scale 1005: Radyllic, Ian Ring Music TheoryRadyllic
4th mode:
Scale 1275
Scale 1275: Stagyllic, Ian Ring Music TheoryStagyllic
5th mode:
Scale 2685
Scale 2685: Ionoryllic, Ian Ring Music TheoryIonoryllic
6th mode:
Scale 1695
Scale 1695: Phrodyllic, Ian Ring Music TheoryPhrodyllic
7th mode:
Scale 2895
Scale 2895: Aeoryllic, Ian Ring Music TheoryAeoryllic
8th mode:
Scale 3495
Scale 3495: Banyllic, Ian Ring Music TheoryBanyllic

Prime

The prime form of this scale is Scale 735

Scale 735Scale 735: Sylyllic, Ian Ring Music TheorySylyllic

Complement

The octatonic modal family [3795, 3945, 1005, 1275, 2685, 1695, 2895, 3495] (Forte: 8-13) is the complement of the tetratonic modal family [75, 705, 1545, 2085] (Forte: 4-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3795 is 2415

Scale 2415Scale 2415: Lothyllic, Ian Ring Music TheoryLothyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3795 is chiral, and its enantiomorph is scale 2415

Scale 2415Scale 2415: Lothyllic, Ian Ring Music TheoryLothyllic

Transformations:

T0 3795  T0I 2415
T1 3495  T1I 735
T2 2895  T2I 1470
T3 1695  T3I 2940
T4 3390  T4I 1785
T5 2685  T5I 3570
T6 1275  T6I 3045
T7 2550  T7I 1995
T8 1005  T8I 3990
T9 2010  T9I 3885
T10 4020  T10I 3675
T11 3945  T11I 3255

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 3793Scale 3793: Aeopian, Ian Ring Music TheoryAeopian
Scale 3797Scale 3797: Rocryllic, Ian Ring Music TheoryRocryllic
Scale 3799Scale 3799: Aeralygic, Ian Ring Music TheoryAeralygic
Scale 3803Scale 3803: Epidygic, Ian Ring Music TheoryEpidygic
Scale 3779Scale 3779, Ian Ring Music Theory
Scale 3787Scale 3787: Kagyllic, Ian Ring Music TheoryKagyllic
Scale 3811Scale 3811: Epogyllic, Ian Ring Music TheoryEpogyllic
Scale 3827Scale 3827: Bodygic, Ian Ring Music TheoryBodygic
Scale 3731Scale 3731: Aeryrian, Ian Ring Music TheoryAeryrian
Scale 3763Scale 3763: Modyllic, Ian Ring Music TheoryModyllic
Scale 3667Scale 3667: Kaptian, Ian Ring Music TheoryKaptian
Scale 3923Scale 3923: Stoptyllic, Ian Ring Music TheoryStoptyllic
Scale 4051Scale 4051: Ionilygic, Ian Ring Music TheoryIonilygic
Scale 3283Scale 3283: Mela Visvambhari, Ian Ring Music TheoryMela Visvambhari
Scale 3539Scale 3539: Aeoryllic, Ian Ring Music TheoryAeoryllic
Scale 2771Scale 2771: Marva That, Ian Ring Music TheoryMarva That
Scale 1747Scale 1747: Mela Ramapriya, Ian Ring Music TheoryMela Ramapriya

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.