The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2207: "Mygian"

Scale 2207: Mygian, 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
Mygian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,4,7,11}
Forte Number7-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3875
Hemitonia5 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 319
Deep Scaleno
Interval Vector544431
Interval Spectrump3m4n4s4d5t
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5,7}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {5,7,8,10}
<6> = {8,9,11}
Spectra Variation3.714
Maximally Evenno
Maximal Area Setno
Interior Area2.183
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 TriadsC{0,4,7}331.33
G{7,11,2}142
Minor Triadscm{0,3,7}221.33
em{4,7,11}221.33
Augmented TriadsD♯+{3,7,11}331.33
Diminished Triadsc♯°{1,4,7}142
Parsimonious Voice Leading Between Common Triads of Scale 2207. Created by Ian Ring ©2019 cm cm C C cm->C D#+ D#+ cm->D#+ c#° c#° C->c#° em em C->em D#+->em Parsimonious Voice Leading Between Common Triads of Scale 2207. Created by Ian Ring ©2019 G D#+->G

view full size

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.

Diameter4
Radius2
Self-Centeredno
Central Verticescm, em
Peripheral Verticesc♯°, G

Modes

Modes are the rotational transformation of this scale. Scale 2207 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3151
Scale 3151: Pacrian, Ian Ring Music TheoryPacrian
3rd mode:
Scale 3623
Scale 3623: Aerocrian, Ian Ring Music TheoryAerocrian
4th mode:
Scale 3859
Scale 3859: Aeolarian, Ian Ring Music TheoryAeolarian
5th mode:
Scale 3977
Scale 3977: Kythian, Ian Ring Music TheoryKythian
6th mode:
Scale 1009
Scale 1009: Katyptian, Ian Ring Music TheoryKatyptian
7th mode:
Scale 319
Scale 319: Epodian, Ian Ring Music TheoryEpodianThis is the prime mode

Prime

The prime form of this scale is Scale 319

Scale 319Scale 319: Epodian, Ian Ring Music TheoryEpodian

Complement

The heptatonic modal family [2207, 3151, 3623, 3859, 3977, 1009, 319] (Forte: 7-3) is the complement of the pentatonic modal family [55, 1795, 2075, 2945, 3085] (Forte: 5-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2207 is 3875

Scale 3875Scale 3875: Aeryptian, Ian Ring Music TheoryAeryptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2207 is chiral, and its enantiomorph is scale 3875

Scale 3875Scale 3875: Aeryptian, Ian Ring Music TheoryAeryptian

Transformations:

T0 2207  T0I 3875
T1 319  T1I 3655
T2 638  T2I 3215
T3 1276  T3I 2335
T4 2552  T4I 575
T5 1009  T5I 1150
T6 2018  T6I 2300
T7 4036  T7I 505
T8 3977  T8I 1010
T9 3859  T9I 2020
T10 3623  T10I 4040
T11 3151  T11I 3985

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 2205Scale 2205: Ionocrimic, Ian Ring Music TheoryIonocrimic
Scale 2203Scale 2203: Dorimic, Ian Ring Music TheoryDorimic
Scale 2199Scale 2199: Dyptimic, Ian Ring Music TheoryDyptimic
Scale 2191Scale 2191: Thydimic, Ian Ring Music TheoryThydimic
Scale 2223Scale 2223: Konian, Ian Ring Music TheoryKonian
Scale 2239Scale 2239: Dacryllic, Ian Ring Music TheoryDacryllic
Scale 2271Scale 2271: Poptyllic, Ian Ring Music TheoryPoptyllic
Scale 2079Scale 2079, Ian Ring Music Theory
Scale 2143Scale 2143, Ian Ring Music Theory
Scale 2335Scale 2335: Epydian, Ian Ring Music TheoryEpydian
Scale 2463Scale 2463: Ionathyllic, Ian Ring Music TheoryIonathyllic
Scale 2719Scale 2719: Zocryllic, Ian Ring Music TheoryZocryllic
Scale 3231Scale 3231: Kataptyllic, Ian Ring Music TheoryKataptyllic
Scale 159Scale 159, Ian Ring Music Theory
Scale 1183Scale 1183: Sadian, Ian Ring Music TheorySadian

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.