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Scale 1779: "Zynyllic"

Scale 1779: Zynyllic, 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

41161837294116105072918310504116183
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
Zynyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,4,5,6,7,9,10}
Forte Number8-18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2541
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 879
Deep Scaleno
Interval Vector546553
Interval Spectrump5m5n6s4d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1779 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2937
Scale 2937: Phragyllic, Ian Ring Music TheoryPhragyllic
3rd mode:
Scale 879
Scale 879: Aeranyllic, Ian Ring Music TheoryAeranyllicThis is the prime mode
4th mode:
Scale 2487
Scale 2487: Dothyllic, Ian Ring Music TheoryDothyllic
5th mode:
Scale 3291
Scale 3291: Lygyllic, Ian Ring Music TheoryLygyllic
6th mode:
Scale 3693
Scale 3693: Stadyllic, Ian Ring Music TheoryStadyllic
7th mode:
Scale 1947
Scale 1947: Byptyllic, Ian Ring Music TheoryByptyllic
8th mode:
Scale 3021
Scale 3021: Stodyllic, Ian Ring Music TheoryStodyllic

Prime

The prime form of this scale is Scale 879

Scale 879Scale 879: Aeranyllic, Ian Ring Music TheoryAeranyllic

Complement

The octatonic modal family [1779, 2937, 879, 2487, 3291, 3693, 1947, 3021] (Forte: 8-18) is the complement of the tetratonic modal family [147, 609, 777, 2121] (Forte: 4-18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1779 is 2541

Scale 2541Scale 2541: Algerian, Ian Ring Music TheoryAlgerian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1779 is chiral, and its enantiomorph is scale 2541

Scale 2541Scale 2541: Algerian, Ian Ring Music TheoryAlgerian

Transformations:

T0 1779  T0I 2541
T1 3558  T1I 987
T2 3021  T2I 1974
T3 1947  T3I 3948
T4 3894  T4I 3801
T5 3693  T5I 3507
T6 3291  T6I 2919
T7 2487  T7I 1743
T8 879  T8I 3486
T9 1758  T9I 2877
T10 3516  T10I 1659
T11 2937  T11I 3318

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 1777Scale 1777: Saptian, Ian Ring Music TheorySaptian
Scale 1781Scale 1781: Gocryllic, Ian Ring Music TheoryGocryllic
Scale 1783Scale 1783: Youlan Scale, Ian Ring Music TheoryYoulan Scale
Scale 1787Scale 1787: Mycrygic, Ian Ring Music TheoryMycrygic
Scale 1763Scale 1763: Katalian, Ian Ring Music TheoryKatalian
Scale 1771Scale 1771, Ian Ring Music Theory
Scale 1747Scale 1747: Mela Ramapriya, Ian Ring Music TheoryMela Ramapriya
Scale 1715Scale 1715: Harmonic Minor Inverse, Ian Ring Music TheoryHarmonic Minor Inverse
Scale 1651Scale 1651: Asian, Ian Ring Music TheoryAsian
Scale 1907Scale 1907: Lynyllic, Ian Ring Music TheoryLynyllic
Scale 2035Scale 2035: Aerythygic, Ian Ring Music TheoryAerythygic
Scale 1267Scale 1267: Katynian, Ian Ring Music TheoryKatynian
Scale 1523Scale 1523: Zothyllic, Ian Ring Music TheoryZothyllic
Scale 755Scale 755: Phrythian, Ian Ring Music TheoryPhrythian
Scale 2803Scale 2803: Raga Bhatiyar, Ian Ring Music TheoryRaga Bhatiyar
Scale 3827Scale 3827: Bodygic, Ian Ring Music TheoryBodygic

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.