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Scale 2007: "Stonygic"

Scale 2007: Stonygic, 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
Stonygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,4,6,7,8,9,10}
Forte Number9-8
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3453
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 1503
Deep Scaleno
Interval Vector676764
Interval Spectrump6m7n6s7d6t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.556
Maximally Evenno
Maximal Area Setyes
Interior Area2.799
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{0,4,7}342.47
D{2,6,9}242.47
F♯{6,10,1}442.2
A{9,1,4}442.07
Minor Triadsc♯m{1,4,8}342.33
f♯m{6,9,1}442.07
gm{7,10,2}342.47
am{9,0,4}342.33
Augmented TriadsC+{0,4,8}342.4
D+{2,6,10}342.4
Diminished Triadsc♯°{1,4,7}242.67
{4,7,10}242.53
f♯°{6,9,0}242.47
{7,10,1}242.53
a♯°{10,1,4}242.33
Parsimonious Voice Leading Between Common Triads of Scale 2007. Created by Ian Ring ©2019 C C C+ C+ C->C+ c#° c#° C->c#° C->e° c#m c#m C+->c#m am am C+->am c#°->c#m A A c#m->A D D D+ D+ D->D+ f#m f#m D->f#m F# F# D+->F# gm gm D+->gm e°->gm f#° f#° f#°->f#m f#°->am f#m->F# f#m->A F#->g° a#° a#° F#->a#° g°->gm 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 2007 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3051
Scale 3051: Stalygic, Ian Ring Music TheoryStalygic
3rd mode:
Scale 3573
Scale 3573: Kaptygic, Ian Ring Music TheoryKaptygic
4th mode:
Scale 1917
Scale 1917: Thydyllian, Ian Ring Music TheoryThydyllian
5th mode:
Scale 1503
Scale 1503: Epiryllian, Ian Ring Music TheoryEpiryllianThis is the prime mode
6th mode:
Scale 2799
Scale 2799: Lyryllian, Ian Ring Music TheoryLyryllian
7th mode:
Scale 3447
Scale 3447: Mogyllian, Ian Ring Music TheoryMogyllian
8th mode:
Scale 3771
Scale 3771: Katodyllian, Ian Ring Music TheoryKatodyllian
9th mode:
Scale 3933
Scale 3933: Ionidygic, Ian Ring Music TheoryIonidygic

Prime

The prime form of this scale is Scale 1503

Scale 1503Scale 1503: Epiryllian, Ian Ring Music TheoryEpiryllian

Complement

The nonatonic modal family [2007, 3051, 3573, 1917, 1503, 2799, 3447, 3771, 3933] (Forte: 9-8) is the complement of the tritonic modal family [69, 321, 1041] (Forte: 3-8)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2007 is 3453

Scale 3453Scale 3453: Katarygic, Ian Ring Music TheoryKatarygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2007 is chiral, and its enantiomorph is scale 3453

Scale 3453Scale 3453: Katarygic, Ian Ring Music TheoryKatarygic

Transformations:

T0 2007  T0I 3453
T1 4014  T1I 2811
T2 3933  T2I 1527
T3 3771  T3I 3054
T4 3447  T4I 2013
T5 2799  T5I 4026
T6 1503  T6I 3957
T7 3006  T7I 3819
T8 1917  T8I 3543
T9 3834  T9I 2991
T10 3573  T10I 1887
T11 3051  T11I 3774

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 2005Scale 2005: Gygyllic, Ian Ring Music TheoryGygyllic
Scale 2003Scale 2003: Podyllic, Ian Ring Music TheoryPodyllic
Scale 2011Scale 2011: Raphygic, Ian Ring Music TheoryRaphygic
Scale 2015Scale 2015: Messiaen Mode 7, Ian Ring Music TheoryMessiaen Mode 7
Scale 1991Scale 1991: Phryptyllic, Ian Ring Music TheoryPhryptyllic
Scale 1999Scale 1999: Zacrygic, Ian Ring Music TheoryZacrygic
Scale 2023Scale 2023: Zodygic, Ian Ring Music TheoryZodygic
Scale 2039Scale 2039: Danyllian, Ian Ring Music TheoryDanyllian
Scale 1943Scale 1943, Ian Ring Music Theory
Scale 1975Scale 1975: Ionocrygic, Ian Ring Music TheoryIonocrygic
Scale 1879Scale 1879: Mixoryllic, Ian Ring Music TheoryMixoryllic
Scale 1751Scale 1751: Aeolyryllic, Ian Ring Music TheoryAeolyryllic
Scale 1495Scale 1495: Messiaen Mode 6, Ian Ring Music TheoryMessiaen Mode 6
Scale 983Scale 983: Thocryllic, Ian Ring Music TheoryThocryllic
Scale 3031Scale 3031: Epithygic, Ian Ring Music TheoryEpithygic
Scale 4055Scale 4055: Dagyllian, Ian Ring Music TheoryDagyllian

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.