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Scale 3945: "Lydyllic"

Scale 3945: Lydyllic, 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
Lydyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,3,5,6,8,9,10,11}
Forte Number8-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 735
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 3945 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1005
Scale 1005: Radyllic, Ian Ring Music TheoryRadyllic
3rd mode:
Scale 1275
Scale 1275: Stagyllic, Ian Ring Music TheoryStagyllic
4th mode:
Scale 2685
Scale 2685: Ionoryllic, Ian Ring Music TheoryIonoryllic
5th mode:
Scale 1695
Scale 1695: Phrodyllic, Ian Ring Music TheoryPhrodyllic
6th mode:
Scale 2895
Scale 2895: Aeoryllic, Ian Ring Music TheoryAeoryllic
7th mode:
Scale 3495
Scale 3495: Banyllic, Ian Ring Music TheoryBanyllic
8th mode:
Scale 3795
Scale 3795: Epothyllic, Ian Ring Music TheoryEpothyllic

Prime

The prime form of this scale is Scale 735

Scale 735Scale 735: Sylyllic, Ian Ring Music TheorySylyllic

Complement

The octatonic modal family [3945, 1005, 1275, 2685, 1695, 2895, 3495, 3795] (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 3945 is 735

Scale 735Scale 735: Sylyllic, Ian Ring Music TheorySylyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3945 is chiral, and its enantiomorph is scale 735

Scale 735Scale 735: Sylyllic, Ian Ring Music TheorySylyllic

Transformations:

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

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 3947Scale 3947: Ryptygic, Ian Ring Music TheoryRyptygic
Scale 3949Scale 3949: Koptygic, Ian Ring Music TheoryKoptygic
Scale 3937Scale 3937, Ian Ring Music Theory
Scale 3941Scale 3941: Stathyllic, Ian Ring Music TheoryStathyllic
Scale 3953Scale 3953: Thagyllic, Ian Ring Music TheoryThagyllic
Scale 3961Scale 3961: Zathygic, Ian Ring Music TheoryZathygic
Scale 3913Scale 3913: Bonian, Ian Ring Music TheoryBonian
Scale 3929Scale 3929: Aeolothyllic, Ian Ring Music TheoryAeolothyllic
Scale 3881Scale 3881: Morian, Ian Ring Music TheoryMorian
Scale 4009Scale 4009: Phranyllic, Ian Ring Music TheoryPhranyllic
Scale 4073Scale 4073: Sathygic, Ian Ring Music TheorySathygic
Scale 3689Scale 3689: Katocrian, Ian Ring Music TheoryKatocrian
Scale 3817Scale 3817: Zoryllic, Ian Ring Music TheoryZoryllic
Scale 3433Scale 3433: Thonian, Ian Ring Music TheoryThonian
Scale 2921Scale 2921: Pogian, Ian Ring Music TheoryPogian
Scale 1897Scale 1897: Ionopian, Ian Ring Music TheoryIonopian

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.