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Scale 3925: "Thyryllic"

Scale 3925: Thyryllic, 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
Thyryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,4,6,8,9,10,11}
Forte Number8-21
Rotational Symmetrynone
Reflection Axes4
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 1375
Deep Scaleno
Interval Vector474643
Interval Spectrump4m6n4s7d4t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[8]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3925 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2005
Scale 2005: Gygyllic, Ian Ring Music TheoryGygyllic
3rd mode:
Scale 1525
Scale 1525: Sodyllic, Ian Ring Music TheorySodyllic
4th mode:
Scale 1405
Scale 1405: Goryllic, Ian Ring Music TheoryGoryllic
5th mode:
Scale 1375
Scale 1375: Bothyllic, Ian Ring Music TheoryBothyllicThis is the prime mode
6th mode:
Scale 2735
Scale 2735: Gynyllic, Ian Ring Music TheoryGynyllic
7th mode:
Scale 3415
Scale 3415: Ionaptyllic, Ian Ring Music TheoryIonaptyllic
8th mode:
Scale 3755
Scale 3755: Phryryllic, Ian Ring Music TheoryPhryryllic

Prime

The prime form of this scale is Scale 1375

Scale 1375Scale 1375: Bothyllic, Ian Ring Music TheoryBothyllic

Complement

The octatonic modal family [3925, 2005, 1525, 1405, 1375, 2735, 3415, 3755] (Forte: 8-21) is the complement of the tetratonic modal family [85, 1045, 1285, 1345] (Forte: 4-21)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3925 is 1375

Scale 1375Scale 1375: Bothyllic, Ian Ring Music TheoryBothyllic

Transformations:

T0 3925  T0I 1375
T1 3755  T1I 2750
T2 3415  T2I 1405
T3 2735  T3I 2810
T4 1375  T4I 1525
T5 2750  T5I 3050
T6 1405  T6I 2005
T7 2810  T7I 4010
T8 1525  T8I 3925
T9 3050  T9I 3755
T10 2005  T10I 3415
T11 4010  T11I 2735

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 3927Scale 3927: Monygic, Ian Ring Music TheoryMonygic
Scale 3921Scale 3921: Pythian, Ian Ring Music TheoryPythian
Scale 3923Scale 3923: Stoptyllic, Ian Ring Music TheoryStoptyllic
Scale 3929Scale 3929: Aeolothyllic, Ian Ring Music TheoryAeolothyllic
Scale 3933Scale 3933: Ionidygic, Ian Ring Music TheoryIonidygic
Scale 3909Scale 3909: Rydian, Ian Ring Music TheoryRydian
Scale 3917Scale 3917: Katoptyllic, Ian Ring Music TheoryKatoptyllic
Scale 3941Scale 3941: Stathyllic, Ian Ring Music TheoryStathyllic
Scale 3957Scale 3957: Porygic, Ian Ring Music TheoryPorygic
Scale 3861Scale 3861: Phroptian, Ian Ring Music TheoryPhroptian
Scale 3893Scale 3893: Phrocryllic, Ian Ring Music TheoryPhrocryllic
Scale 3989Scale 3989: Sythyllic, Ian Ring Music TheorySythyllic
Scale 4053Scale 4053: Kyrygic, Ian Ring Music TheoryKyrygic
Scale 3669Scale 3669: Mothian, Ian Ring Music TheoryMothian
Scale 3797Scale 3797: Rocryllic, Ian Ring Music TheoryRocryllic
Scale 3413Scale 3413: Leading Whole-tone, Ian Ring Music TheoryLeading Whole-tone
Scale 2901Scale 2901: Lydian Augmented, Ian Ring Music TheoryLydian Augmented
Scale 1877Scale 1877: Aeroptian, Ian Ring Music TheoryAeroptian

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.