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Scale 1717: "Mixolydian"

Scale 1717: Mixolydian, 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

Western
Mixolydian
Ancient Greek
Greek Hypophrygian
Greek Ionian
Greek Iastian
Greek Hypoerlydian
Greek Medieval Hypoionian
Medieval
Medieval Mixolydian
Western Modern
Hypermixolydian
Hindustani
Khamaj That
Khamaj Theta
Carnatic Mela
Mela Harikambhoji
Carnatic Raga
Raga Harini
Unknown / Unsorted
Janjhuti
Khambhavati
Surati
Balahamsa
Devamanohari
Enharmonic Byzantine Liturgical
Rast Descending
Ching
Schenkerian
Mischung 3
Gregorian Numbered
Gregorian Number 7
Chinese
Shang
Zeitler
Mixolydian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,4,5,7,9,10}
Forte Number7-35
Rotational Symmetrynone
Reflection Axes1
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections1
Modes6
Prime?no
prime: 1387
Deep Scaleyes
Interval Vector254361
Interval Spectrump6m3n4s5d2t
Distribution Spectra<1> = {1,2}
<2> = {3,4}
<3> = {5,6}
<4> = {6,7}
<5> = {8,9}
<6> = {10,11}
Spectra Variation0.857
Maximally Evenyes
Maximal Area Setyes
Interior Area2.665
Myhill Propertyyes
Balancedno
Ridge Tones[2]
ProprietyProper
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}231.71
F{5,9,0}231.71
A♯{10,2,5}231.71
Minor Triadsdm{2,5,9}231.71
gm{7,10,2}231.71
am{9,0,4}231.71
Diminished Triads{4,7,10}231.71
Parsimonious Voice Leading Between Common Triads of Scale 1717. Created by Ian Ring ©2019 C C C->e° am am C->am dm dm F F dm->F A# A# dm->A# gm gm e°->gm F->am gm->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
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1717 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1453
Scale 1453: Aeolian, Ian Ring Music TheoryAeolian
3rd mode:
Scale 1387
Scale 1387: Locrian, Ian Ring Music TheoryLocrianThis is the prime mode
4th mode:
Scale 2741
Scale 2741: Major, Ian Ring Music TheoryMajor
5th mode:
Scale 1709
Scale 1709: Dorian, Ian Ring Music TheoryDorian
6th mode:
Scale 1451
Scale 1451: Phrygian, Ian Ring Music TheoryPhrygian
7th mode:
Scale 2773
Scale 2773: Lydian, Ian Ring Music TheoryLydian

Prime

The prime form of this scale is Scale 1387

Scale 1387Scale 1387: Locrian, Ian Ring Music TheoryLocrian

Complement

The heptatonic modal family [1717, 1453, 1387, 2741, 1709, 1451, 2773] (Forte: 7-35) is the complement of the pentatonic modal family [661, 677, 1189, 1193, 1321] (Forte: 5-35)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1717 is 1453

Scale 1453Scale 1453: Aeolian, Ian Ring Music TheoryAeolian

Transformations:

T0 1717  T0I 1453
T1 3434  T1I 2906
T2 2773  T2I 1717
T3 1451  T3I 3434
T4 2902  T4I 2773
T5 1709  T5I 1451
T6 3418  T6I 2902
T7 2741  T7I 1709
T8 1387  T8I 3418
T9 2774  T9I 2741
T10 1453  T10I 1387
T11 2906  T11I 2774

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 1719Scale 1719: Lyryllic, Ian Ring Music TheoryLyryllic
Scale 1713Scale 1713: Raga Khamas, Ian Ring Music TheoryRaga Khamas
Scale 1715Scale 1715: Harmonic Minor Inverse, Ian Ring Music TheoryHarmonic Minor Inverse
Scale 1721Scale 1721: Mela Vagadhisvari, Ian Ring Music TheoryMela Vagadhisvari
Scale 1725Scale 1725: Minor Bebop, Ian Ring Music TheoryMinor Bebop
Scale 1701Scale 1701: Dominant Seventh, Ian Ring Music TheoryDominant Seventh
Scale 1709Scale 1709: Dorian, Ian Ring Music TheoryDorian
Scale 1685Scale 1685: Zeracrimic, Ian Ring Music TheoryZeracrimic
Scale 1749Scale 1749: Acoustic, Ian Ring Music TheoryAcoustic
Scale 1781Scale 1781: Gocryllic, Ian Ring Music TheoryGocryllic
Scale 1589Scale 1589: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri
Scale 1653Scale 1653: Minor Romani Inverse, Ian Ring Music TheoryMinor Romani Inverse
Scale 1845Scale 1845: Lagian, Ian Ring Music TheoryLagian
Scale 1973Scale 1973: Zyryllic, Ian Ring Music TheoryZyryllic
Scale 1205Scale 1205: Raga Siva Kambhoji, Ian Ring Music TheoryRaga Siva Kambhoji
Scale 1461Scale 1461: Major-Minor, Ian Ring Music TheoryMajor-Minor
Scale 693Scale 693: Arezzo Major Diatonic Hexachord, Ian Ring Music TheoryArezzo Major Diatonic Hexachord
Scale 2741Scale 2741: Major, Ian Ring Music TheoryMajor
Scale 3765Scale 3765: Dominant Bebop, Ian Ring Music TheoryDominant Bebop

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.