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Scale 701: "Mixonyphian"

Scale 701: Mixonyphian, 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
Mixonyphian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,5,7,9}
Forte Number7-23
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1961
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes6
Prime?yes
Deep Scaleno
Interval Vector354351
Interval Spectrump5m3n4s5d3t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

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}231.5
F{5,9,0}231.5
Minor Triadscm{0,3,7}241.83
dm{2,5,9}142.17
am{9,0,4}321.17
Diminished Triads{9,0,3}231.5
Parsimonious Voice Leading Between Common Triads of Scale 701. Created by Ian Ring ©2019 cm cm C C cm->C cm->a° am am C->am dm dm F F dm->F F->am a°->am

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 Verticesam
Peripheral Verticescm, dm

Modes

Modes are the rotational transformation of this scale. Scale 701 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1199
Scale 1199: Magian, Ian Ring Music TheoryMagian
3rd mode:
Scale 2647
Scale 2647: Dadian, Ian Ring Music TheoryDadian
4th mode:
Scale 3371
Scale 3371: Aeolylian, Ian Ring Music TheoryAeolylian
5th mode:
Scale 3733
Scale 3733: Gycrian, Ian Ring Music TheoryGycrian
6th mode:
Scale 1957
Scale 1957: Pyrian, Ian Ring Music TheoryPyrian
7th mode:
Scale 1513
Scale 1513: Stathian, Ian Ring Music TheoryStathian

Prime

This is the prime form of this scale.

Complement

The heptatonic modal family [701, 1199, 2647, 3371, 3733, 1957, 1513] (Forte: 7-23) is the complement of the pentatonic modal family [173, 1067, 1441, 1669, 2581] (Forte: 5-23)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 701 is 1961

Scale 1961Scale 1961: Soptian, Ian Ring Music TheorySoptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 701 is chiral, and its enantiomorph is scale 1961

Scale 1961Scale 1961: Soptian, Ian Ring Music TheorySoptian

Transformations:

T0 701  T0I 1961
T1 1402  T1I 3922
T2 2804  T2I 3749
T3 1513  T3I 3403
T4 3026  T4I 2711
T5 1957  T5I 1327
T6 3914  T6I 2654
T7 3733  T7I 1213
T8 3371  T8I 2426
T9 2647  T9I 757
T10 1199  T10I 1514
T11 2398  T11I 3028

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 703Scale 703: Aerocryllic, Ian Ring Music TheoryAerocryllic
Scale 697Scale 697: Lagimic, Ian Ring Music TheoryLagimic
Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian
Scale 693Scale 693: Arezzo Major Diatonic Hexachord, Ian Ring Music TheoryArezzo Major Diatonic Hexachord
Scale 685Scale 685: Raga Suddha Bangala, Ian Ring Music TheoryRaga Suddha Bangala
Scale 669Scale 669: Gycrimic, Ian Ring Music TheoryGycrimic
Scale 733Scale 733: Donian, Ian Ring Music TheoryDonian
Scale 765Scale 765, Ian Ring Music Theory
Scale 573Scale 573: Saptimic, Ian Ring Music TheorySaptimic
Scale 637Scale 637: Debussy's Heptatonic, Ian Ring Music TheoryDebussy's Heptatonic
Scale 829Scale 829: Lygian, Ian Ring Music TheoryLygian
Scale 957Scale 957: Phronyllic, Ian Ring Music TheoryPhronyllic
Scale 189Scale 189, Ian Ring Music Theory
Scale 445Scale 445: Gocrian, Ian Ring Music TheoryGocrian
Scale 1213Scale 1213: Gyrian, Ian Ring Music TheoryGyrian
Scale 1725Scale 1725: Minor Bebop, Ian Ring Music TheoryMinor Bebop
Scale 2749Scale 2749: Katagyllic, Ian Ring Music TheoryKatagyllic

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.