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Scale 2807: "Zylygic"

Scale 2807: Zylygic, 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
Zylygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,4,5,6,7,9,11}
Forte Number9-9
Rotational Symmetrynone
Reflection Axes3
Palindromicno
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections1
Modes8
Prime?no
prime: 1519
Deep Scaleno
Interval Vector676683
Interval Spectrump8m6n6s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.333
Maximally Evenno
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tones[6]
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsC{0,4,7}342.43
D{2,6,9}342.29
F{5,9,0}342.21
G{7,11,2}242.57
A{9,1,4}342.21
Minor Triadsdm{2,5,9}342.21
em{4,7,11}242.57
f♯m{6,9,1}342.21
am{9,0,4}342.29
bm{11,2,6}342.43
Augmented TriadsC♯+{1,5,9}442
Diminished Triadsc♯°{1,4,7}242.57
f♯°{6,9,0}242.57
{11,2,5}242.57
Parsimonious Voice Leading Between Common Triads of Scale 2807. Created by Ian Ring ©2019 C C c#° c#° C->c#° em em C->em am am C->am A A c#°->A C#+ C#+ dm dm C#+->dm F F C#+->F f#m f#m C#+->f#m C#+->A D D dm->D dm->b° D->f#m bm bm D->bm Parsimonious Voice Leading Between Common Triads of Scale 2807. Created by Ian Ring ©2019 G em->G f#° f#° F->f#° F->am f#°->f#m G->bm am->A b°->bm

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Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter4
Radius4
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2807 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3451
Scale 3451: Garygic, Ian Ring Music TheoryGarygic
3rd mode:
Scale 3773
Scale 3773: Raga Malgunji, Ian Ring Music TheoryRaga Malgunji
4th mode:
Scale 1967
Scale 1967: Diatonic Dorian Mixed, Ian Ring Music TheoryDiatonic Dorian Mixed
5th mode:
Scale 3031
Scale 3031: Epithygic, Ian Ring Music TheoryEpithygic
6th mode:
Scale 3563
Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic
7th mode:
Scale 3829
Scale 3829: Taishikicho, Ian Ring Music TheoryTaishikicho
8th mode:
Scale 1981
Scale 1981: Houseini, Ian Ring Music TheoryHouseini
9th mode:
Scale 1519
Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian MixedThis is the prime mode

Prime

The prime form of this scale is Scale 1519

Scale 1519Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian Mixed

Complement

The nonatonic modal family [2807, 3451, 3773, 1967, 3031, 3563, 3829, 1981, 1519] (Forte: 9-9) is the complement of the tritonic modal family [133, 161, 1057] (Forte: 3-9)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2807 is 3563

Scale 3563Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic

Transformations:

T0 2807  T0I 3563
T1 1519  T1I 3031
T2 3038  T2I 1967
T3 1981  T3I 3934
T4 3962  T4I 3773
T5 3829  T5I 3451
T6 3563  T6I 2807
T7 3031  T7I 1519
T8 1967  T8I 3038
T9 3934  T9I 1981
T10 3773  T10I 3962
T11 3451  T11I 3829

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 2805Scale 2805: Ishikotsucho, Ian Ring Music TheoryIshikotsucho
Scale 2803Scale 2803: Raga Bhatiyar, Ian Ring Music TheoryRaga Bhatiyar
Scale 2811Scale 2811: Barygic, Ian Ring Music TheoryBarygic
Scale 2815Scale 2815: Aeradyllian, Ian Ring Music TheoryAeradyllian
Scale 2791Scale 2791: Mixothyllic, Ian Ring Music TheoryMixothyllic
Scale 2799Scale 2799: Epilygic, Ian Ring Music TheoryEpilygic
Scale 2775Scale 2775: Godyllic, Ian Ring Music TheoryGodyllic
Scale 2743Scale 2743: Staptyllic, Ian Ring Music TheoryStaptyllic
Scale 2679Scale 2679: Rathyllic, Ian Ring Music TheoryRathyllic
Scale 2935Scale 2935: Modygic, Ian Ring Music TheoryModygic
Scale 3063Scale 3063: Solyllian, Ian Ring Music TheorySolyllian
Scale 2295Scale 2295: Kogyllic, Ian Ring Music TheoryKogyllic
Scale 2551Scale 2551: Thocrygic, Ian Ring Music TheoryThocrygic
Scale 3319Scale 3319: Tholygic, Ian Ring Music TheoryTholygic
Scale 3831Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian
Scale 759Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllic
Scale 1783Scale 1783: Youlan Scale, Ian Ring Music TheoryYoulan Scale

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.