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Scale 2719: "Zocryllic"

Scale 2719: Zocryllic, 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
Zocryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,4,7,9,11}
Forte Number8-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3883
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 2719 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3407
Scale 3407: Katocryllic, Ian Ring Music TheoryKatocryllic
3rd mode:
Scale 3751
Scale 3751: Aerathyllic, Ian Ring Music TheoryAerathyllic
4th mode:
Scale 3923
Scale 3923: Stoptyllic, Ian Ring Music TheoryStoptyllic
5th mode:
Scale 4009
Scale 4009: Phranyllic, Ian Ring Music TheoryPhranyllic
6th mode:
Scale 1013
Scale 1013: Stydyllic, Ian Ring Music TheoryStydyllic
7th mode:
Scale 1277
Scale 1277: Zadyllic, Ian Ring Music TheoryZadyllic
8th mode:
Scale 1343
Scale 1343: Zalyllic, Ian Ring Music TheoryZalyllic

Prime

The prime form of this scale is Scale 703

Scale 703Scale 703: Aerocryllic, Ian Ring Music TheoryAerocryllic

Complement

The octatonic modal family [2719, 3407, 3751, 3923, 4009, 1013, 1277, 1343] (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 2719 is 3883

Scale 3883Scale 3883: Kyryllic, Ian Ring Music TheoryKyryllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2719 is chiral, and its enantiomorph is scale 3883

Scale 3883Scale 3883: Kyryllic, Ian Ring Music TheoryKyryllic

Transformations:

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

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 2717Scale 2717: Epygian, Ian Ring Music TheoryEpygian
Scale 2715Scale 2715: Kynian, Ian Ring Music TheoryKynian
Scale 2711Scale 2711: Stolian, Ian Ring Music TheoryStolian
Scale 2703Scale 2703: Galian, Ian Ring Music TheoryGalian
Scale 2735Scale 2735: Gynyllic, Ian Ring Music TheoryGynyllic
Scale 2751Scale 2751: Sylygic, Ian Ring Music TheorySylygic
Scale 2783Scale 2783: Gothygic, Ian Ring Music TheoryGothygic
Scale 2591Scale 2591, Ian Ring Music Theory
Scale 2655Scale 2655, Ian Ring Music Theory
Scale 2847Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
Scale 2975Scale 2975: Aeroptygic, Ian Ring Music TheoryAeroptygic
Scale 2207Scale 2207: Mygian, Ian Ring Music TheoryMygian
Scale 2463Scale 2463: Ionathyllic, Ian Ring Music TheoryIonathyllic
Scale 3231Scale 3231: Kataptyllic, Ian Ring Music TheoryKataptyllic
Scale 3743Scale 3743: Thadygic, Ian Ring Music TheoryThadygic
Scale 671Scale 671: Stycrian, Ian Ring Music TheoryStycrian
Scale 1695Scale 1695: Phrodyllic, Ian Ring Music TheoryPhrodyllic

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.