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Scale 1393: "Mycrimic"

Scale 1393: Mycrimic, 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
Mycrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,4,5,6,8,10}
Forte Number6-22
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 469
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 343
Deep Scaleno
Interval Vector241422
Interval Spectrump2m4ns4d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5,6}
<3> = {4,5,6,7,8}
<4> = {6,7,8,9,10}
<5> = {8,10,11}
Spectra Variation3
Maximally Evenno
Maximal Area Setno
Interior Area2.232
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
Minor Triadsfm{5,8,0}110.5
Augmented TriadsC+{0,4,8}110.5
Parsimonious Voice Leading Between Common Triads of Scale 1393. Created by Ian Ring ©2019 C+ C+ fm fm C+->fm

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 1393 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 343
Scale 343: Ionorimic, Ian Ring Music TheoryIonorimicThis is the prime mode
3rd mode:
Scale 2219
Scale 2219: Phrydimic, Ian Ring Music TheoryPhrydimic
4th mode:
Scale 3157
Scale 3157: Zyptimic, Ian Ring Music TheoryZyptimic
5th mode:
Scale 1813
Scale 1813: Katothimic, Ian Ring Music TheoryKatothimic
6th mode:
Scale 1477
Scale 1477: Raga Jaganmohanam, Ian Ring Music TheoryRaga Jaganmohanam

Prime

The prime form of this scale is Scale 343

Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic

Complement

The hexatonic modal family [1393, 343, 2219, 3157, 1813, 1477] (Forte: 6-22) is the complement of the hexatonic modal family [343, 1393, 1477, 1813, 2219, 3157] (Forte: 6-22)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1393 is 469

Scale 469Scale 469: Katyrimic, Ian Ring Music TheoryKatyrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1393 is chiral, and its enantiomorph is scale 469

Scale 469Scale 469: Katyrimic, Ian Ring Music TheoryKatyrimic

Transformations:

T0 1393  T0I 469
T1 2786  T1I 938
T2 1477  T2I 1876
T3 2954  T3I 3752
T4 1813  T4I 3409
T5 3626  T5I 2723
T6 3157  T6I 1351
T7 2219  T7I 2702
T8 343  T8I 1309
T9 686  T9I 2618
T10 1372  T10I 1141
T11 2744  T11I 2282

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 1395Scale 1395: Locrian Dominant, Ian Ring Music TheoryLocrian Dominant
Scale 1397Scale 1397: Major Locrian, Ian Ring Music TheoryMajor Locrian
Scale 1401Scale 1401: Pagian, Ian Ring Music TheoryPagian
Scale 1377Scale 1377, Ian Ring Music Theory
Scale 1385Scale 1385: Phracrimic, Ian Ring Music TheoryPhracrimic
Scale 1361Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
Scale 1329Scale 1329: Epygitonic, Ian Ring Music TheoryEpygitonic
Scale 1457Scale 1457: Raga Kamalamanohari, Ian Ring Music TheoryRaga Kamalamanohari
Scale 1521Scale 1521: Stanian, Ian Ring Music TheoryStanian
Scale 1137Scale 1137: Stonitonic, Ian Ring Music TheoryStonitonic
Scale 1265Scale 1265: Pynimic, Ian Ring Music TheoryPynimic
Scale 1649Scale 1649: Bolimic, Ian Ring Music TheoryBolimic
Scale 1905Scale 1905: Katacrian, Ian Ring Music TheoryKatacrian
Scale 369Scale 369: Laditonic, Ian Ring Music TheoryLaditonic
Scale 881Scale 881: Aerothimic, Ian Ring Music TheoryAerothimic
Scale 2417Scale 2417: Kanimic, Ian Ring Music TheoryKanimic
Scale 3441Scale 3441: Thacrian, Ian Ring Music TheoryThacrian

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. Special thanks to Richard Repp for helping with technical accuracy.