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Scale 1593: "Zogimic"

Scale 1593: Zogimic, 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
Zogimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,5,9,10}
Forte Number6-18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 909
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes5
Prime?no
prime: 423
Deep Scaleno
Interval Vector322242
Interval Spectrump4m2n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5}
<3> = {5,6,7}
<4> = {7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.116
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 TriadsF{5,9,0}121
Minor Triadsam{9,0,4}210.67
Diminished Triads{9,0,3}121
Parsimonious Voice Leading Between Common Triads of Scale 1593. Created by Ian Ring ©2019 F F am am F->am a°->am

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.

Diameter2
Radius1
Self-Centeredno
Central Verticesam
Peripheral VerticesF, a°

Modes

Modes are the rotational transformation of this scale. Scale 1593 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 711
Scale 711: Raga Chandrajyoti, Ian Ring Music TheoryRaga Chandrajyoti
3rd mode:
Scale 2403
Scale 2403: Lycrimic, Ian Ring Music TheoryLycrimic
4th mode:
Scale 3249
Scale 3249: Raga Tilang, Ian Ring Music TheoryRaga Tilang
5th mode:
Scale 459
Scale 459: Zaptimic, Ian Ring Music TheoryZaptimic
6th mode:
Scale 2277
Scale 2277: Kagimic, Ian Ring Music TheoryKagimic

Prime

The prime form of this scale is Scale 423

Scale 423Scale 423: Sogimic, Ian Ring Music TheorySogimic

Complement

The hexatonic modal family [1593, 711, 2403, 3249, 459, 2277] (Forte: 6-18) is the complement of the hexatonic modal family [423, 909, 1251, 2259, 2673, 3177] (Forte: 6-18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1593 is 909

Scale 909Scale 909: Katarimic, Ian Ring Music TheoryKatarimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1593 is chiral, and its enantiomorph is scale 909

Scale 909Scale 909: Katarimic, Ian Ring Music TheoryKatarimic

Transformations:

T0 1593  T0I 909
T1 3186  T1I 1818
T2 2277  T2I 3636
T3 459  T3I 3177
T4 918  T4I 2259
T5 1836  T5I 423
T6 3672  T6I 846
T7 3249  T7I 1692
T8 2403  T8I 3384
T9 711  T9I 2673
T10 1422  T10I 1251
T11 2844  T11I 2502

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 1595Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
Scale 1597Scale 1597: Aeolodian, Ian Ring Music TheoryAeolodian
Scale 1585Scale 1585: Raga Khamaji Durga, Ian Ring Music TheoryRaga Khamaji Durga
Scale 1589Scale 1589: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri
Scale 1577Scale 1577: Raga Chandrakauns (Kafi), Ian Ring Music TheoryRaga Chandrakauns (Kafi)
Scale 1561Scale 1561, Ian Ring Music Theory
Scale 1625Scale 1625: Lythimic, Ian Ring Music TheoryLythimic
Scale 1657Scale 1657: Ionothian, Ian Ring Music TheoryIonothian
Scale 1721Scale 1721: Mela Vagadhisvari, Ian Ring Music TheoryMela Vagadhisvari
Scale 1849Scale 1849: Chromatic Hypodorian Inverse, Ian Ring Music TheoryChromatic Hypodorian Inverse
Scale 1081Scale 1081, Ian Ring Music Theory
Scale 1337Scale 1337: Epogimic, Ian Ring Music TheoryEpogimic
Scale 569Scale 569: Mothitonic, Ian Ring Music TheoryMothitonic
Scale 2617Scale 2617: Pylimic, Ian Ring Music TheoryPylimic
Scale 3641Scale 3641: Thocrian, Ian Ring Music TheoryThocrian

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.