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Scale 633: "Kydimic"

Scale 633: Kydimic, 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
Kydimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,5,6,9}
Forte Number6-Z42
Rotational Symmetrynone
Reflection Axes4.5
Palindromicno
Chiralityno
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes5
Prime?no
prime: 591
Deep Scaleno
Interval Vector324222
Interval Spectrump2m2n4s2d3t2
Distribution Spectra<1> = {1,3}
<2> = {2,4,6}
<3> = {3,5,7,9}
<4> = {6,8,10}
<5> = {9,11}
Spectra Variation3
Maximally Evenno
Maximal Area Setno
Interior Area2.25
Myhill Propertyno
Balancedno
Ridge Tones[9]
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}231.5
Minor Triadsam{9,0,4}231.5
Diminished Triads{0,3,6}231.5
d♯°{3,6,9}231.5
f♯°{6,9,0}231.5
{9,0,3}231.5
Parsimonious Voice Leading Between Common Triads of Scale 633. Created by Ian Ring ©2019 d#° d#° c°->d#° c°->a° f#° f#° d#°->f#° F F F->f#° am am F->am a°->am

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 633 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 591
Scale 591: Gaptimic, Ian Ring Music TheoryGaptimicThis is the prime mode
3rd mode:
Scale 2343
Scale 2343: Tharimic, Ian Ring Music TheoryTharimic
4th mode:
Scale 3219
Scale 3219: Ionaphimic, Ian Ring Music TheoryIonaphimic
5th mode:
Scale 3657
Scale 3657: Epynimic, Ian Ring Music TheoryEpynimic
6th mode:
Scale 969
Scale 969: Ionogimic, Ian Ring Music TheoryIonogimic

Prime

The prime form of this scale is Scale 591

Scale 591Scale 591: Gaptimic, Ian Ring Music TheoryGaptimic

Complement

The hexatonic modal family [633, 591, 2343, 3219, 3657, 969] (Forte: 6-Z42) is the complement of the hexatonic modal family [219, 1563, 1731, 2157, 2829, 2913] (Forte: 6-Z13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 633 is 969

Scale 969Scale 969: Ionogimic, Ian Ring Music TheoryIonogimic

Transformations:

T0 633  T0I 969
T1 1266  T1I 1938
T2 2532  T2I 3876
T3 969  T3I 3657
T4 1938  T4I 3219
T5 3876  T5I 2343
T6 3657  T6I 591
T7 3219  T7I 1182
T8 2343  T8I 2364
T9 591  T9I 633
T10 1182  T10I 1266
T11 2364  T11I 2532

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 635Scale 635: Epolian, Ian Ring Music TheoryEpolian
Scale 637Scale 637: Debussy's Heptatonic, Ian Ring Music TheoryDebussy's Heptatonic
Scale 625Scale 625: Ionyptitonic, Ian Ring Music TheoryIonyptitonic
Scale 629Scale 629: Aeronimic, Ian Ring Music TheoryAeronimic
Scale 617Scale 617: Katycritonic, Ian Ring Music TheoryKatycritonic
Scale 601Scale 601: Bycritonic, Ian Ring Music TheoryBycritonic
Scale 569Scale 569: Mothitonic, Ian Ring Music TheoryMothitonic
Scale 697Scale 697: Lagimic, Ian Ring Music TheoryLagimic
Scale 761Scale 761: Ponian, Ian Ring Music TheoryPonian
Scale 889Scale 889: Borian, Ian Ring Music TheoryBorian
Scale 121Scale 121, Ian Ring Music Theory
Scale 377Scale 377: Kathimic, Ian Ring Music TheoryKathimic
Scale 1145Scale 1145: Zygimic, Ian Ring Music TheoryZygimic
Scale 1657Scale 1657: Ionothian, Ian Ring Music TheoryIonothian
Scale 2681Scale 2681: Aerycrian, Ian Ring Music TheoryAerycrian

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.