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Scale 2661: "Stydimic"

Scale 2661: Stydimic, 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
Stydimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,5,6,9,11}
Forte Number6-Z50
Rotational Symmetrynone
Reflection Axes5.5
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 723
Deep Scaleno
Interval Vector224232
Interval Spectrump3m2n4s2d2t2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {5,6,7}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.667
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tones[11]
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 TriadsD{2,6,9}321.17
F{5,9,0}231.5
Minor Triadsdm{2,5,9}321.17
bm{11,2,6}231.5
Diminished Triadsf♯°{6,9,0}231.5
{11,2,5}231.5
Parsimonious Voice Leading Between Common Triads of Scale 2661. Created by Ian Ring ©2019 dm dm D D dm->D F F dm->F dm->b° f#° f#° D->f#° bm bm D->bm F->f#° b°->bm

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.

Diameter3
Radius2
Self-Centeredno
Central Verticesdm, D
Peripheral VerticesF, f♯°, b°, bm

Modes

Modes are the rotational transformation of this scale. Scale 2661 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1689
Scale 1689: Lorimic, Ian Ring Music TheoryLorimic
3rd mode:
Scale 723
Scale 723: Ionadimic, Ian Ring Music TheoryIonadimicThis is the prime mode
4th mode:
Scale 2409
Scale 2409: Zacrimic, Ian Ring Music TheoryZacrimic
5th mode:
Scale 813
Scale 813: Larimic, Ian Ring Music TheoryLarimic
6th mode:
Scale 1227
Scale 1227: Thacrimic, Ian Ring Music TheoryThacrimic

Prime

The prime form of this scale is Scale 723

Scale 723Scale 723: Ionadimic, Ian Ring Music TheoryIonadimic

Complement

The hexatonic modal family [2661, 1689, 723, 2409, 813, 1227] (Forte: 6-Z50) is the complement of the hexatonic modal family [717, 843, 1203, 1641, 2469, 2649] (Forte: 6-Z29)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2661 is 1227

Scale 1227Scale 1227: Thacrimic, Ian Ring Music TheoryThacrimic

Transformations:

T0 2661  T0I 1227
T1 1227  T1I 2454
T2 2454  T2I 813
T3 813  T3I 1626
T4 1626  T4I 3252
T5 3252  T5I 2409
T6 2409  T6I 723
T7 723  T7I 1446
T8 1446  T8I 2892
T9 2892  T9I 1689
T10 1689  T10I 3378
T11 3378  T11I 2661

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 2663Scale 2663: Lalian, Ian Ring Music TheoryLalian
Scale 2657Scale 2657, Ian Ring Music Theory
Scale 2659Scale 2659: Katynimic, Ian Ring Music TheoryKatynimic
Scale 2665Scale 2665: Aeradimic, Ian Ring Music TheoryAeradimic
Scale 2669Scale 2669: Jeths' Mode, Ian Ring Music TheoryJeths' Mode
Scale 2677Scale 2677: Thodian, Ian Ring Music TheoryThodian
Scale 2629Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
Scale 2645Scale 2645: Raga Mruganandana, Ian Ring Music TheoryRaga Mruganandana
Scale 2597Scale 2597: Raga Rasranjani, Ian Ring Music TheoryRaga Rasranjani
Scale 2725Scale 2725: Raga Nagagandhari, Ian Ring Music TheoryRaga Nagagandhari
Scale 2789Scale 2789: Zolian, Ian Ring Music TheoryZolian
Scale 2917Scale 2917: Nohkan Flute Scale, Ian Ring Music TheoryNohkan Flute Scale
Scale 2149Scale 2149, Ian Ring Music Theory
Scale 2405Scale 2405: Katalimic, Ian Ring Music TheoryKatalimic
Scale 3173Scale 3173: Zarimic, Ian Ring Music TheoryZarimic
Scale 3685Scale 3685: Kodian, Ian Ring Music TheoryKodian
Scale 613Scale 613: Phralitonic, Ian Ring Music TheoryPhralitonic
Scale 1637Scale 1637: Syptimic, Ian Ring Music TheorySyptimic

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.