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Scale 2935: "Modygic"

Scale 2935: Modygic, 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
Modygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,4,5,6,8,9,11}
Forte Number9-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3547
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1775
Deep Scaleno
Interval Vector667773
Interval Spectrump7m7n7s6d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {9,10}
<8> = {10,11}
Spectra Variation1.111
Maximally Evenno
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
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♯{1,5,8}442.17
D{2,6,9}342.5
E{4,8,11}342.56
F{5,9,0}442.17
A{9,1,4}342.39
Minor Triadsc♯m{1,4,8}342.44
dm{2,5,9}442.28
fm{5,8,0}442.22
f♯m{6,9,1}342.39
am{9,0,4}342.44
bm{11,2,6}342.67
Augmented TriadsC+{0,4,8}442.33
C♯+{1,5,9}542
Diminished Triads{2,5,8}242.56
{5,8,11}242.67
f♯°{6,9,0}242.67
g♯°{8,11,2}242.72
{11,2,5}242.72
Parsimonious Voice Leading Between Common Triads of Scale 2935. Created by Ian Ring ©2019 C+ C+ c#m c#m C+->c#m E E C+->E fm fm C+->fm am am C+->am C# C# c#m->C# A A c#m->A C#+ C#+ C#->C#+ C#->d° C#->fm dm dm C#+->dm F F C#+->F f#m f#m C#+->f#m C#+->A d°->dm D D dm->D dm->b° D->f#m bm bm D->bm E->f° g#° g#° E->g#° f°->fm fm->F f#° f#° F->f#° F->am f#°->f#m g#°->bm am->A b°->bm

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.

Diameter4
Radius4
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2935 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3515
Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
3rd mode:
Scale 3805
Scale 3805: Moptygic, Ian Ring Music TheoryMoptygic
4th mode:
Scale 1975
Scale 1975: Ionocrygic, Ian Ring Music TheoryIonocrygic
5th mode:
Scale 3035
Scale 3035: Gocrygic, Ian Ring Music TheoryGocrygic
6th mode:
Scale 3565
Scale 3565: Aeolorygic, Ian Ring Music TheoryAeolorygic
7th mode:
Scale 1915
Scale 1915: Thydygic, Ian Ring Music TheoryThydygic
8th mode:
Scale 3005
Scale 3005: Gycrygic, Ian Ring Music TheoryGycrygic
9th mode:
Scale 1775
Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygicThis is the prime mode

Prime

The prime form of this scale is Scale 1775

Scale 1775Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygic

Complement

The nonatonic modal family [2935, 3515, 3805, 1975, 3035, 3565, 1915, 3005, 1775] (Forte: 9-11) is the complement of the tritonic modal family [137, 289, 529] (Forte: 3-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2935 is 3547

Scale 3547Scale 3547: Sadygic, Ian Ring Music TheorySadygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2935 is chiral, and its enantiomorph is scale 3547

Scale 3547Scale 3547: Sadygic, Ian Ring Music TheorySadygic

Transformations:

T0 2935  T0I 3547
T1 1775  T1I 2999
T2 3550  T2I 1903
T3 3005  T3I 3806
T4 1915  T4I 3517
T5 3830  T5I 2939
T6 3565  T6I 1783
T7 3035  T7I 3566
T8 1975  T8I 3037
T9 3950  T9I 1979
T10 3805  T10I 3958
T11 3515  T11I 3821

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 2933Scale 2933, Ian Ring Music Theory
Scale 2931Scale 2931: Zathyllic, Ian Ring Music TheoryZathyllic
Scale 2939Scale 2939: Goptygic, Ian Ring Music TheoryGoptygic
Scale 2943Scale 2943: Dathyllian, Ian Ring Music TheoryDathyllian
Scale 2919Scale 2919: Molyllic, Ian Ring Music TheoryMolyllic
Scale 2927Scale 2927: Rodygic, Ian Ring Music TheoryRodygic
Scale 2903Scale 2903: Gothyllic, Ian Ring Music TheoryGothyllic
Scale 2871Scale 2871: Stanyllic, Ian Ring Music TheoryStanyllic
Scale 2999Scale 2999: Chromatic and Permuted Diatonic Dorian Mixed, Ian Ring Music TheoryChromatic and Permuted Diatonic Dorian Mixed
Scale 3063Scale 3063: Solyllian, Ian Ring Music TheorySolyllian
Scale 2679Scale 2679: Rathyllic, Ian Ring Music TheoryRathyllic
Scale 2807Scale 2807: Zylygic, Ian Ring Music TheoryZylygic
Scale 2423Scale 2423, Ian Ring Music Theory
Scale 3447Scale 3447: Kynygic, Ian Ring Music TheoryKynygic
Scale 3959Scale 3959: Katagyllian, Ian Ring Music TheoryKatagyllian
Scale 887Scale 887: Sathyllic, Ian Ring Music TheorySathyllic
Scale 1911Scale 1911: Messiaen Mode 3, Ian Ring Music TheoryMessiaen Mode 3

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.