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Scale 1107: "Mogitonic"

Scale 1107: Mogitonic, 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
Mogitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,4,6,10}
Forte Number5-28
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2373
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 333
Deep Scaleno
Interval Vector122212
Interval Spectrumpm2n2s2dt2
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {8,9,10,11}
Spectra Variation2.4
Maximally Evenno
Maximal Area Setno
Interior Area2.049
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♯{6,10,1}110.5
Diminished Triadsa♯°{10,1,4}110.5
Parsimonious Voice Leading Between Common Triads of Scale 1107. Created by Ian Ring ©2019 F# F# a#° a#° F#->a#°

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 1107 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2601
Scale 2601: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
3rd mode:
Scale 837
Scale 837: Epaditonic, Ian Ring Music TheoryEpaditonic
4th mode:
Scale 1233
Scale 1233: Ionoditonic, Ian Ring Music TheoryIonoditonic
5th mode:
Scale 333
Scale 333: Bogitonic, Ian Ring Music TheoryBogitonicThis is the prime mode

Prime

The prime form of this scale is Scale 333

Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic

Complement

The pentatonic modal family [1107, 2601, 837, 1233, 333] (Forte: 5-28) is the complement of the heptatonic modal family [747, 1431, 1629, 1881, 2421, 2763, 3429] (Forte: 7-28)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1107 is 2373

Scale 2373Scale 2373: Dyptitonic, Ian Ring Music TheoryDyptitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1107 is chiral, and its enantiomorph is scale 2373

Scale 2373Scale 2373: Dyptitonic, Ian Ring Music TheoryDyptitonic

Transformations:

T0 1107  T0I 2373
T1 2214  T1I 651
T2 333  T2I 1302
T3 666  T3I 2604
T4 1332  T4I 1113
T5 2664  T5I 2226
T6 1233  T6I 357
T7 2466  T7I 714
T8 837  T8I 1428
T9 1674  T9I 2856
T10 3348  T10I 1617
T11 2601  T11I 3234

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 1105Scale 1105: Messiaen Truncated Mode 6 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 6 Inverse
Scale 1109Scale 1109: Kataditonic, Ian Ring Music TheoryKataditonic
Scale 1111Scale 1111: Sycrimic, Ian Ring Music TheorySycrimic
Scale 1115Scale 1115: Superlocrian Hexamirror, Ian Ring Music TheorySuperlocrian Hexamirror
Scale 1091Scale 1091, Ian Ring Music Theory
Scale 1099Scale 1099: Dyritonic, Ian Ring Music TheoryDyritonic
Scale 1123Scale 1123: Iwato, Ian Ring Music TheoryIwato
Scale 1139Scale 1139: Aerygimic, Ian Ring Music TheoryAerygimic
Scale 1043Scale 1043, Ian Ring Music Theory
Scale 1075Scale 1075, Ian Ring Music Theory
Scale 1171Scale 1171: Raga Manaranjani I, Ian Ring Music TheoryRaga Manaranjani I
Scale 1235Scale 1235: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2
Scale 1363Scale 1363: Gygimic, Ian Ring Music TheoryGygimic
Scale 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
Scale 83Scale 83, Ian Ring Music Theory
Scale 595Scale 595: Sogitonic, Ian Ring Music TheorySogitonic
Scale 2131Scale 2131, Ian Ring Music Theory
Scale 3155Scale 3155: Ladimic, Ian Ring Music TheoryLadimic

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.