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Scale 1277: "Zadyllic"

Scale 1277: Zadyllic, 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.

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
Zadyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,4,5,6,7,10}
Forte Number8-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2021
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
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1277 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1343
Scale 1343: Zalyllic, Ian Ring Music TheoryZalyllic
3rd mode:
Scale 2719
Scale 2719: Zocryllic, Ian Ring Music TheoryZocryllic
4th mode:
Scale 3407
Scale 3407: Katocryllic, Ian Ring Music TheoryKatocryllic
5th mode:
Scale 3751
Scale 3751: Aerathyllic, Ian Ring Music TheoryAerathyllic
6th mode:
Scale 3923
Scale 3923: Stoptyllic, Ian Ring Music TheoryStoptyllic
7th mode:
Scale 4009
Scale 4009: Phranyllic, Ian Ring Music TheoryPhranyllic
8th mode:
Scale 1013
Scale 1013: Stydyllic, Ian Ring Music TheoryStydyllic

Prime

The prime form of this scale is Scale 703

Scale 703Scale 703: Aerocryllic, Ian Ring Music TheoryAerocryllic

Complement

The octatonic modal family [1277, 1343, 2719, 3407, 3751, 3923, 4009, 1013] (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 1277 is 2021

Scale 2021Scale 2021: Katycryllic, Ian Ring Music TheoryKatycryllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1277 is chiral, and its enantiomorph is scale 2021

Scale 2021Scale 2021: Katycryllic, Ian Ring Music TheoryKatycryllic

Transformations:

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

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 1279Scale 1279: Sarygic, Ian Ring Music TheorySarygic
Scale 1273Scale 1273: Ronian, Ian Ring Music TheoryRonian
Scale 1275Scale 1275: Stagyllic, Ian Ring Music TheoryStagyllic
Scale 1269Scale 1269: Katythian, Ian Ring Music TheoryKatythian
Scale 1261Scale 1261: Modified Blues, Ian Ring Music TheoryModified Blues
Scale 1245Scale 1245: Lathian, Ian Ring Music TheoryLathian
Scale 1213Scale 1213: Gyrian, Ian Ring Music TheoryGyrian
Scale 1149Scale 1149: Bydian, Ian Ring Music TheoryBydian
Scale 1405Scale 1405: Goryllic, Ian Ring Music TheoryGoryllic
Scale 1533Scale 1533: Katycrygic, Ian Ring Music TheoryKatycrygic
Scale 1789Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II
Scale 253Scale 253, Ian Ring Music Theory
Scale 765Scale 765, Ian Ring Music Theory
Scale 2301Scale 2301: Bydyllic, Ian Ring Music TheoryBydyllic
Scale 3325Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic

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. Bibliography