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Scale 3927: "Monygic"

Scale 3927: Monygic, 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
Monygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,4,6,8,9,10,11}
Forte Number9-6
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 1407
Deep Scaleno
Interval Vector686763
Interval Spectrump6m7n6s8d6t3
Distribution Spectra<1> = {1,2}
<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> = {10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tones[10]
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}242.31
E{4,8,11}242.54
F♯{6,10,1}342.15
A{9,1,4}442
Minor Triadsc♯m{1,4,8}242.31
f♯m{6,9,1}442
am{9,0,4}342.15
bm{11,2,6}242.54
Augmented TriadsC+{0,4,8}342.31
D+{2,6,10}342.31
Diminished Triadsf♯°{6,9,0}242.31
g♯°{8,11,2}242.62
a♯°{10,1,4}242.31
Parsimonious Voice Leading Between Common Triads of Scale 3927. Created by Ian Ring ©2019 C+ C+ c#m c#m C+->c#m E E C+->E am am C+->am A A c#m->A D D D+ D+ D->D+ f#m f#m D->f#m F# F# D+->F# bm bm D+->bm g#° g#° E->g#° f#° f#° f#°->f#m f#°->am f#m->F# f#m->A a#° a#° F#->a#° g#°->bm am->A A->a#°

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 3927 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 4011
Scale 4011: Styrygic, Ian Ring Music TheoryStyrygic
3rd mode:
Scale 4053
Scale 4053: Kyrygic, Ian Ring Music TheoryKyrygic
4th mode:
Scale 2037
Scale 2037: Sythygic, Ian Ring Music TheorySythygic
5th mode:
Scale 1533
Scale 1533: Katycrygic, Ian Ring Music TheoryKatycrygic
6th mode:
Scale 1407
Scale 1407: Tharygic, Ian Ring Music TheoryTharygicThis is the prime mode
7th mode:
Scale 2751
Scale 2751: Sylygic, Ian Ring Music TheorySylygic
8th mode:
Scale 3423
Scale 3423: Lothygic, Ian Ring Music TheoryLothygic
9th mode:
Scale 3759
Scale 3759: Darygic, Ian Ring Music TheoryDarygic

Prime

The prime form of this scale is Scale 1407

Scale 1407Scale 1407: Tharygic, Ian Ring Music TheoryTharygic

Complement

The nonatonic modal family [3927, 4011, 4053, 2037, 1533, 1407, 2751, 3423, 3759] (Forte: 9-6) is the complement of the tritonic modal family [21, 1029, 1281] (Forte: 3-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3927 is 3423

Scale 3423Scale 3423: Lothygic, Ian Ring Music TheoryLothygic

Transformations:

T0 3927  T0I 3423
T1 3759  T1I 2751
T2 3423  T2I 1407
T3 2751  T3I 2814
T4 1407  T4I 1533
T5 2814  T5I 3066
T6 1533  T6I 2037
T7 3066  T7I 4074
T8 2037  T8I 4053
T9 4074  T9I 4011
T10 4053  T10I 3927
T11 4011  T11I 3759

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 3925Scale 3925: Thyryllic, Ian Ring Music TheoryThyryllic
Scale 3923Scale 3923: Stoptyllic, Ian Ring Music TheoryStoptyllic
Scale 3931Scale 3931: Aerygic, Ian Ring Music TheoryAerygic
Scale 3935Scale 3935: Kataphyllian, Ian Ring Music TheoryKataphyllian
Scale 3911Scale 3911: Katyryllic, Ian Ring Music TheoryKatyryllic
Scale 3919Scale 3919: Lynygic, Ian Ring Music TheoryLynygic
Scale 3943Scale 3943: Zynygic, Ian Ring Music TheoryZynygic
Scale 3959Scale 3959: Katagyllian, Ian Ring Music TheoryKatagyllian
Scale 3863Scale 3863: Eparyllic, Ian Ring Music TheoryEparyllic
Scale 3895Scale 3895: Eparygic, Ian Ring Music TheoryEparygic
Scale 3991Scale 3991: Badygic, Ian Ring Music TheoryBadygic
Scale 4055Scale 4055: Dagyllian, Ian Ring Music TheoryDagyllian
Scale 3671Scale 3671: Aeonyllic, Ian Ring Music TheoryAeonyllic
Scale 3799Scale 3799: Aeralygic, Ian Ring Music TheoryAeralygic
Scale 3415Scale 3415: Ionaptyllic, Ian Ring Music TheoryIonaptyllic
Scale 2903Scale 2903: Gothyllic, Ian Ring Music TheoryGothyllic
Scale 1879Scale 1879: Mixoryllic, Ian Ring Music TheoryMixoryllic

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.