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Scale 2185: "Dygic"

Scale 2185: Dygic, 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
Dygic

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,3,7,11}
Forte Number4-19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 547
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 275
Deep Scaleno
Interval Vector101310
Interval Spectrumpm3nd
Distribution Spectra<1> = {1,3,4}
<2> = {4,5,7,8}
<3> = {8,9,11}
Spectra Variation2.5
Maximally Evenno
Maximal Area Setno
Interior Area1.616
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
Minor Triadscm{0,3,7}110.5
Augmented TriadsD♯+{3,7,11}110.5
Parsimonious Voice Leading Between Common Triads of Scale 2185. Created by Ian Ring ©2019 cm cm D#+ D#+ cm->D#+

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.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2185 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 785
Scale 785: Aeoloric, Ian Ring Music TheoryAeoloric
3rd mode:
Scale 305
Scale 305: Gonic, Ian Ring Music TheoryGonic
4th mode:
Scale 275
Scale 275: Dalic, Ian Ring Music TheoryDalicThis is the prime mode

Prime

The prime form of this scale is Scale 275

Scale 275Scale 275: Dalic, Ian Ring Music TheoryDalic

Complement

The tetratonic modal family [2185, 785, 305, 275] (Forte: 4-19) is the complement of the octatonic modal family [887, 1847, 1907, 2491, 2971, 3001, 3293, 3533] (Forte: 8-19)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2185 is 547

Scale 547Scale 547: Pyrric, Ian Ring Music TheoryPyrric

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2185 is chiral, and its enantiomorph is scale 547

Scale 547Scale 547: Pyrric, Ian Ring Music TheoryPyrric

Transformations:

T0 2185  T0I 547
T1 275  T1I 1094
T2 550  T2I 2188
T3 1100  T3I 281
T4 2200  T4I 562
T5 305  T5I 1124
T6 610  T6I 2248
T7 1220  T7I 401
T8 2440  T8I 802
T9 785  T9I 1604
T10 1570  T10I 3208
T11 3140  T11I 2321

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 2187Scale 2187: Ionothitonic, Ian Ring Music TheoryIonothitonic
Scale 2189Scale 2189: Zagitonic, Ian Ring Music TheoryZagitonic
Scale 2177Scale 2177, Ian Ring Music Theory
Scale 2181Scale 2181, Ian Ring Music Theory
Scale 2193Scale 2193: Thaptic, Ian Ring Music TheoryThaptic
Scale 2201Scale 2201: Ionagitonic, Ian Ring Music TheoryIonagitonic
Scale 2217Scale 2217: Kagitonic, Ian Ring Music TheoryKagitonic
Scale 2249Scale 2249: Raga Multani, Ian Ring Music TheoryRaga Multani
Scale 2057Scale 2057, Ian Ring Music Theory
Scale 2121Scale 2121, Ian Ring Music Theory
Scale 2313Scale 2313, Ian Ring Music Theory
Scale 2441Scale 2441: Kyritonic, Ian Ring Music TheoryKyritonic
Scale 2697Scale 2697: Katagitonic, Ian Ring Music TheoryKatagitonic
Scale 3209Scale 3209: Aeraphitonic, Ian Ring Music TheoryAeraphitonic
Scale 137Scale 137: Ute Tritonic, Ian Ring Music TheoryUte Tritonic
Scale 1161Scale 1161: Bi Yu, Ian Ring Music TheoryBi Yu

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.