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Scale 2879: "Stadygic"

Scale 2879: Stadygic, 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
Stadygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,5,8,9,11}
Forte Number9-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3995
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 TriadsC♯{1,5,8}442.24
E{4,8,11}342.35
F{5,9,0}342.24
G♯{8,0,3}342.35
A{9,1,4}342.35
Minor Triadsc♯m{1,4,8}342.24
dm{2,5,9}342.53
fm{5,8,0}442.12
g♯m{8,11,3}342.53
am{9,0,4}442.24
Augmented TriadsC+{0,4,8}542
C♯+{1,5,9}442.24
Diminished Triads{2,5,8}252.71
{5,8,11}242.59
g♯°{8,11,2}242.76
{9,0,3}252.71
{11,2,5}242.76
Parsimonious Voice Leading Between Common Triads of Scale 2879. Created by Ian Ring ©2019 C+ C+ c#m c#m C+->c#m E E C+->E fm fm C+->fm G# G# C+->G# 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 C#+->A d°->dm dm->b° E->f° g#m g#m E->g#m f°->fm fm->F F->am g#° g#° g#°->g#m g#°->b° g#m->G# G#->a° a°->am am->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.

Diameter5
Radius4
Self-Centeredno
Central VerticesC+, c♯m, C♯, C♯+, dm, E, f°, fm, F, g♯°, g♯m, G♯, am, A, b°
Peripheral Verticesd°, a°

Modes

Modes are the rotational transformation of this scale. Scale 2879 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3487
Scale 3487: Byptygic, Ian Ring Music TheoryByptygic
3rd mode:
Scale 3791
Scale 3791: Stodygic, Ian Ring Music TheoryStodygic
4th mode:
Scale 3943
Scale 3943: Zynygic, Ian Ring Music TheoryZynygic
5th mode:
Scale 4019
Scale 4019: Lonygic, Ian Ring Music TheoryLonygic
6th mode:
Scale 4057
Scale 4057: Phrygic, Ian Ring Music TheoryPhrygic
7th mode:
Scale 1019
Scale 1019: Aeranygic, Ian Ring Music TheoryAeranygic
8th mode:
Scale 2557
Scale 2557: Dothygic, Ian Ring Music TheoryDothygic
9th mode:
Scale 1663
Scale 1663: Lydygic, Ian Ring Music TheoryLydygic

Prime

The prime form of this scale is Scale 895

Scale 895Scale 895: Aeolathygic, Ian Ring Music TheoryAeolathygic

Complement

The nonatonic modal family [2879, 3487, 3791, 3943, 4019, 4057, 1019, 2557, 1663] (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 2879 is 3995

Scale 3995Scale 3995: Ionygic, Ian Ring Music TheoryIonygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2879 is chiral, and its enantiomorph is scale 3995

Scale 3995Scale 3995: Ionygic, Ian Ring Music TheoryIonygic

Transformations:

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

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 2877Scale 2877: Phrylyllic, Ian Ring Music TheoryPhrylyllic
Scale 2875Scale 2875: Ganyllic, Ian Ring Music TheoryGanyllic
Scale 2871Scale 2871: Stanyllic, Ian Ring Music TheoryStanyllic
Scale 2863Scale 2863: Aerogyllic, Ian Ring Music TheoryAerogyllic
Scale 2847Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
Scale 2911Scale 2911: Katygic, Ian Ring Music TheoryKatygic
Scale 2943Scale 2943: Dathyllian, Ian Ring Music TheoryDathyllian
Scale 3007Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian
Scale 2623Scale 2623: Aerylyllic, Ian Ring Music TheoryAerylyllic
Scale 2751Scale 2751: Sylygic, Ian Ring Music TheorySylygic
Scale 2367Scale 2367: Laryllic, Ian Ring Music TheoryLaryllic
Scale 3391Scale 3391: Aeolynygic, Ian Ring Music TheoryAeolynygic
Scale 3903Scale 3903: Aeogyllian, Ian Ring Music TheoryAeogyllian
Scale 831Scale 831: Rodyllic, Ian Ring Music TheoryRodyllic
Scale 1855Scale 1855: Gaptygic, Ian Ring Music TheoryGaptygic

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.