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Scale 3695: "Kodygic"

Scale 3695: Kodygic, 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
Kodygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,5,6,9,10,11}
Forte Number9-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3791
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 895
Deep Scaleno
Interval Vector767763
Interval Spectrump6m7n7s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2.222
Maximally Evenno
Maximal Area Setno
Interior Area2.683
Myhill Propertyno
Balancedno
Ridge Tonesnone
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 TriadsD{2,6,9}442.12
F{5,9,0}342.53
F♯{6,10,1}342.24
A♯{10,2,5}442.24
B{11,3,6}342.53
Minor Triadsdm{2,5,9}342.24
d♯m{3,6,10}342.35
f♯m{6,9,1}442.24
a♯m{10,1,5}342.35
bm{11,2,6}342.35
Augmented TriadsC♯+{1,5,9}442.24
D+{2,6,10}542
Diminished Triads{0,3,6}242.76
d♯°{3,6,9}242.59
f♯°{6,9,0}252.71
{9,0,3}242.76
{11,2,5}252.71
Parsimonious Voice Leading Between Common Triads of Scale 3695. Created by Ian Ring ©2019 c°->a° B B c°->B C#+ C#+ dm dm C#+->dm F F C#+->F f#m f#m C#+->f#m a#m a#m C#+->a#m D D dm->D A# A# dm->A# D+ D+ D->D+ d#° d#° D->d#° D->f#m d#m d#m D+->d#m F# F# D+->F# D+->A# bm bm D+->bm d#°->d#m d#m->B f#° f#° F->f#° F->a° f#°->f#m f#m->F# F#->a#m a#m->A# A#->b° b°->bm bm->B

view full size

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.

Diameter5
Radius4
Self-Centeredno
Central Verticesc°, C♯+, dm, D, D+, d♯°, d♯m, F, f♯m, F♯, a°, a♯m, A♯, bm, B
Peripheral Verticesf♯°, b°

Modes

Modes are the rotational transformation of this scale. Scale 3695 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3895
Scale 3895: Eparygic, Ian Ring Music TheoryEparygic
3rd mode:
Scale 3995
Scale 3995: Ionygic, Ian Ring Music TheoryIonygic
4th mode:
Scale 4045
Scale 4045: Gyptygic, Ian Ring Music TheoryGyptygic
5th mode:
Scale 2035
Scale 2035: Aerythygic, Ian Ring Music TheoryAerythygic
6th mode:
Scale 3065
Scale 3065: Zothygic, Ian Ring Music TheoryZothygic
7th mode:
Scale 895
Scale 895: Aeolathygic, Ian Ring Music TheoryAeolathygicThis is the prime mode
8th mode:
Scale 2495
Scale 2495: Aeolocrygic, Ian Ring Music TheoryAeolocrygic
9th mode:
Scale 3295
Scale 3295: Phroptygic, Ian Ring Music TheoryPhroptygic

Prime

The prime form of this scale is Scale 895

Scale 895Scale 895: Aeolathygic, Ian Ring Music TheoryAeolathygic

Complement

The nonatonic modal family [3695, 3895, 3995, 4045, 2035, 3065, 895, 2495, 3295] (Forte: 9-3) is the complement of the tritonic modal family [19, 769, 2057] (Forte: 3-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3695 is 3791

Scale 3791Scale 3791: Stodygic, Ian Ring Music TheoryStodygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3695 is chiral, and its enantiomorph is scale 3791

Scale 3791Scale 3791: Stodygic, Ian Ring Music TheoryStodygic

Transformations:

T0 3695  T0I 3791
T1 3295  T1I 3487
T2 2495  T2I 2879
T3 895  T3I 1663
T4 1790  T4I 3326
T5 3580  T5I 2557
T6 3065  T6I 1019
T7 2035  T7I 2038
T8 4070  T8I 4076
T9 4045  T9I 4057
T10 3995  T10I 4019
T11 3895  T11I 3943

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 3693Scale 3693: Stadyllic, Ian Ring Music TheoryStadyllic
Scale 3691Scale 3691: Badyllic, Ian Ring Music TheoryBadyllic
Scale 3687Scale 3687: Zonyllic, Ian Ring Music TheoryZonyllic
Scale 3703Scale 3703: Katalygic, Ian Ring Music TheoryKatalygic
Scale 3711Scale 3711: Dycryllian, Ian Ring Music TheoryDycryllian
Scale 3663Scale 3663: Sonyllic, Ian Ring Music TheorySonyllic
Scale 3679Scale 3679: Rycrygic, Ian Ring Music TheoryRycrygic
Scale 3631Scale 3631: Gydyllic, Ian Ring Music TheoryGydyllic
Scale 3759Scale 3759: Darygic, Ian Ring Music TheoryDarygic
Scale 3823Scale 3823: Epinyllian, Ian Ring Music TheoryEpinyllian
Scale 3951Scale 3951: Mathyllian, Ian Ring Music TheoryMathyllian
Scale 3183Scale 3183: Mixonyllic, Ian Ring Music TheoryMixonyllic
Scale 3439Scale 3439: Lythygic, Ian Ring Music TheoryLythygic
Scale 2671Scale 2671: Aerolyllic, Ian Ring Music TheoryAerolyllic
Scale 1647Scale 1647: Polyllic, Ian Ring Music TheoryPolyllic

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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.