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Scale 627: "Mogimic"

Scale 627: Mogimic, 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
Mogimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,4,5,6,9}
Forte Number6-Z44
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2505
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 615
Deep Scaleno
Interval Vector313431
Interval Spectrump3m4n3sd3t
Distribution Spectra<1> = {1,3}
<2> = {2,4,6}
<3> = {5,7}
<4> = {6,8,10}
<5> = {9,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.25
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}321.17
A{9,1,4}231.5
Minor Triadsf♯m{6,9,1}231.5
am{9,0,4}231.5
Augmented TriadsC♯+{1,5,9}321.17
Diminished Triadsf♯°{6,9,0}231.5
Parsimonious Voice Leading Between Common Triads of Scale 627. Created by Ian Ring ©2019 C#+ C#+ F F C#+->F f#m f#m C#+->f#m A A C#+->A f#° f#° F->f#° am am F->am f#°->f#m am->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.

Diameter3
Radius2
Self-Centeredno
Central VerticesC♯+, F
Peripheral Verticesf♯°, f♯m, am, A

Modes

Modes are the rotational transformation of this scale. Scale 627 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2361
Scale 2361: Docrimic, Ian Ring Music TheoryDocrimic
3rd mode:
Scale 807
Scale 807: Raga Suddha Mukhari, Ian Ring Music TheoryRaga Suddha Mukhari
4th mode:
Scale 2451
Scale 2451: Raga Bauli, Ian Ring Music TheoryRaga Bauli
5th mode:
Scale 3273
Scale 3273: Raga Jivantini, Ian Ring Music TheoryRaga Jivantini
6th mode:
Scale 921
Scale 921: Bogimic, Ian Ring Music TheoryBogimic

Prime

The prime form of this scale is Scale 615

Scale 615Scale 615: Phrothimic, Ian Ring Music TheoryPhrothimic

Complement

The hexatonic modal family [627, 2361, 807, 2451, 3273, 921] (Forte: 6-Z44) is the complement of the hexatonic modal family [411, 867, 1587, 2253, 2481, 2841] (Forte: 6-Z19)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 627 is 2505

Scale 2505Scale 2505: Mydimic, Ian Ring Music TheoryMydimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 627 is chiral, and its enantiomorph is scale 2505

Scale 2505Scale 2505: Mydimic, Ian Ring Music TheoryMydimic

Transformations:

T0 627  T0I 2505
T1 1254  T1I 915
T2 2508  T2I 1830
T3 921  T3I 3660
T4 1842  T4I 3225
T5 3684  T5I 2355
T6 3273  T6I 615
T7 2451  T7I 1230
T8 807  T8I 2460
T9 1614  T9I 825
T10 3228  T10I 1650
T11 2361  T11I 3300

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 625Scale 625: Ionyptitonic, Ian Ring Music TheoryIonyptitonic
Scale 629Scale 629: Aeronimic, Ian Ring Music TheoryAeronimic
Scale 631Scale 631: Zygian, Ian Ring Music TheoryZygian
Scale 635Scale 635: Epolian, Ian Ring Music TheoryEpolian
Scale 611Scale 611: Anchihoye, Ian Ring Music TheoryAnchihoye
Scale 619Scale 619: Double-Phrygian Hexatonic, Ian Ring Music TheoryDouble-Phrygian Hexatonic
Scale 595Scale 595: Sogitonic, Ian Ring Music TheorySogitonic
Scale 563Scale 563: Thacritonic, Ian Ring Music TheoryThacritonic
Scale 691Scale 691: Raga Kalavati, Ian Ring Music TheoryRaga Kalavati
Scale 755Scale 755: Phrythian, Ian Ring Music TheoryPhrythian
Scale 883Scale 883: Ralian, Ian Ring Music TheoryRalian
Scale 115Scale 115, Ian Ring Music Theory
Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic
Scale 1139Scale 1139: Aerygimic, Ian Ring Music TheoryAerygimic
Scale 1651Scale 1651: Asian, Ian Ring Music TheoryAsian
Scale 2675Scale 2675: Chromatic Lydian, Ian Ring Music TheoryChromatic Lydian

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.