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Scale 1343: "Zalyllic"

Scale 1343: Zalyllic, 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
Zalyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,4,5,8,10}
Forte Number8-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3989
Hemitonia5 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 703
Deep Scaleno
Interval Vector565552
Interval Spectrump5m5n5s6d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {4,5,6,7,8}
<5> = {5,6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.75
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1343 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2719
Scale 2719: Zocryllic, Ian Ring Music TheoryZocryllic
3rd mode:
Scale 3407
Scale 3407: Katocryllic, Ian Ring Music TheoryKatocryllic
4th mode:
Scale 3751
Scale 3751: Aerathyllic, Ian Ring Music TheoryAerathyllic
5th mode:
Scale 3923
Scale 3923: Stoptyllic, Ian Ring Music TheoryStoptyllic
6th mode:
Scale 4009
Scale 4009: Phranyllic, Ian Ring Music TheoryPhranyllic
7th mode:
Scale 1013
Scale 1013: Stydyllic, Ian Ring Music TheoryStydyllic
8th mode:
Scale 1277
Scale 1277: Zadyllic, Ian Ring Music TheoryZadyllic

Prime

The prime form of this scale is Scale 703

Scale 703Scale 703: Aerocryllic, Ian Ring Music TheoryAerocryllic

Complement

The octatonic modal family [1343, 2719, 3407, 3751, 3923, 4009, 1013, 1277] (Forte: 8-11) is the complement of the tetratonic modal family [43, 1409, 1541, 2069] (Forte: 4-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1343 is 3989

Scale 3989Scale 3989: Sythyllic, Ian Ring Music TheorySythyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1343 is chiral, and its enantiomorph is scale 3989

Scale 3989Scale 3989: Sythyllic, Ian Ring Music TheorySythyllic

Transformations:

T0 1343  T0I 3989
T1 2686  T1I 3883
T2 1277  T2I 3671
T3 2554  T3I 3247
T4 1013  T4I 2399
T5 2026  T5I 703
T6 4052  T6I 1406
T7 4009  T7I 2812
T8 3923  T8I 1529
T9 3751  T9I 3058
T10 3407  T10I 2021
T11 2719  T11I 4042

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 1341Scale 1341: Madian, Ian Ring Music TheoryMadian
Scale 1339Scale 1339: Kycrian, Ian Ring Music TheoryKycrian
Scale 1335Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale
Scale 1327Scale 1327: Zalian, Ian Ring Music TheoryZalian
Scale 1311Scale 1311: Bynian, Ian Ring Music TheoryBynian
Scale 1375Scale 1375: Bothyllic, Ian Ring Music TheoryBothyllic
Scale 1407Scale 1407: Tharygic, Ian Ring Music TheoryTharygic
Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic
Scale 1087Scale 1087, Ian Ring Music Theory
Scale 1215Scale 1215, Ian Ring Music Theory
Scale 1599Scale 1599: Pocryllic, Ian Ring Music TheoryPocryllic
Scale 1855Scale 1855: Gaptygic, Ian Ring Music TheoryGaptygic
Scale 319Scale 319: Epodian, Ian Ring Music TheoryEpodian
Scale 831Scale 831: Rodyllic, Ian Ring Music TheoryRodyllic
Scale 2367Scale 2367: Laryllic, Ian Ring Music TheoryLaryllic
Scale 3391Scale 3391: Aeolynygic, Ian Ring Music TheoryAeolynygic

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.