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Scale 1017: "Dythyllic"

Scale 1017: Dythyllic, 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
Dythyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,3,4,5,6,7,8,9}
Forte Number8-3
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections4
Modes7
Prime?no
prime: 639
Deep Scaleno
Interval Vector656542
Interval Spectrump4m5n6s5d6t2
Distribution Spectra<1> = {1,3}
<2> = {2,4,6}
<3> = {3,5,7}
<4> = {4,6,8}
<5> = {5,7,9}
<6> = {6,8,10}
<7> = {9,11}
Spectra Variation3
Maximally Evenno
Maximal Area Setno
Interior Area2.5
Myhill Propertyno
Balancedno
Ridge Tones[0]
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}242.09
F{5,9,0}342
G♯{8,0,3}341.91
Minor Triadscm{0,3,7}342
fm{5,8,0}242.09
am{9,0,4}341.91
Augmented TriadsC+{0,4,8}441.82
Diminished Triads{0,3,6}242.27
d♯°{3,6,9}242.36
f♯°{6,9,0}242.27
{9,0,3}242.18
Parsimonious Voice Leading Between Common Triads of Scale 1017. Created by Ian Ring ©2019 cm cm c°->cm d#° d#° c°->d#° C C cm->C G# G# cm->G# C+ C+ C->C+ fm fm C+->fm C+->G# am am C+->am f#° f#° d#°->f#° F F fm->F F->f#° F->am G#->a° a°->am

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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
Radius4
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1017 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 639
Scale 639: Ionaryllic, Ian Ring Music TheoryIonaryllicThis is the prime mode
3rd mode:
Scale 2367
Scale 2367: Laryllic, Ian Ring Music TheoryLaryllic
4th mode:
Scale 3231
Scale 3231: Kataptyllic, Ian Ring Music TheoryKataptyllic
5th mode:
Scale 3663
Scale 3663: Sonyllic, Ian Ring Music TheorySonyllic
6th mode:
Scale 3879
Scale 3879: Pathyllic, Ian Ring Music TheoryPathyllic
7th mode:
Scale 3987
Scale 3987: Loryllic, Ian Ring Music TheoryLoryllic
8th mode:
Scale 4041
Scale 4041: Zaryllic, Ian Ring Music TheoryZaryllic

Prime

The prime form of this scale is Scale 639

Scale 639Scale 639: Ionaryllic, Ian Ring Music TheoryIonaryllic

Complement

The octatonic modal family [1017, 639, 2367, 3231, 3663, 3879, 3987, 4041] (Forte: 8-3) is the complement of the tetratonic modal family [27, 1539, 2061, 2817] (Forte: 4-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1017 is itself, because it is a palindromic scale!

Scale 1017Scale 1017: Dythyllic, Ian Ring Music TheoryDythyllic

Transformations:

T0 1017  T0I 1017
T1 2034  T1I 2034
T2 4068  T2I 4068
T3 4041  T3I 4041
T4 3987  T4I 3987
T5 3879  T5I 3879
T6 3663  T6I 3663
T7 3231  T7I 3231
T8 2367  T8I 2367
T9 639  T9I 639
T10 1278  T10I 1278
T11 2556  T11I 2556

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 1019Scale 1019: Aeranygic, Ian Ring Music TheoryAeranygic
Scale 1021Scale 1021: Ladygic, Ian Ring Music TheoryLadygic
Scale 1009Scale 1009: Katyptian, Ian Ring Music TheoryKatyptian
Scale 1013Scale 1013: Stydyllic, Ian Ring Music TheoryStydyllic
Scale 1001Scale 1001: Badian, Ian Ring Music TheoryBadian
Scale 985Scale 985: Mela Sucaritra, Ian Ring Music TheoryMela Sucaritra
Scale 953Scale 953: Mela Yagapriya, Ian Ring Music TheoryMela Yagapriya
Scale 889Scale 889: Borian, Ian Ring Music TheoryBorian
Scale 761Scale 761: Ponian, Ian Ring Music TheoryPonian
Scale 505Scale 505: Sanian, Ian Ring Music TheorySanian
Scale 1529Scale 1529: Kataryllic, Ian Ring Music TheoryKataryllic
Scale 2041Scale 2041: Aeolacrygic, Ian Ring Music TheoryAeolacrygic
Scale 3065Scale 3065: Zothygic, Ian Ring Music TheoryZothygic

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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.