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Scale 959: "Katylygic"

Scale 959: Katylygic, 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
Katylygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,5,7,8,9}
Forte Number9-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 4025
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?yes
Deep Scaleno
Interval Vector766773
Interval Spectrump7m7n6s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setno
Interior Area2.683
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 959 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2527
Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic
3rd mode:
Scale 3311
Scale 3311: Mixodygic, Ian Ring Music TheoryMixodygic
4th mode:
Scale 3703
Scale 3703: Katalygic, Ian Ring Music TheoryKatalygic
5th mode:
Scale 3899
Scale 3899: Katorygic, Ian Ring Music TheoryKatorygic
6th mode:
Scale 3997
Scale 3997: Dogygic, Ian Ring Music TheoryDogygic
7th mode:
Scale 2023
Scale 2023: Zodygic, Ian Ring Music TheoryZodygic
8th mode:
Scale 3059
Scale 3059: Madygic, Ian Ring Music TheoryMadygic
9th mode:
Scale 3577
Scale 3577: Loptygic, Ian Ring Music TheoryLoptygic

Prime

This is the prime form of this scale.

Complement

The nonatonic modal family [959, 2527, 3311, 3703, 3899, 3997, 2023, 3059, 3577] (Forte: 9-4) is the complement of the tritonic modal family [35, 385, 2065] (Forte: 3-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 959 is 4025

Scale 4025Scale 4025: Kalygic, Ian Ring Music TheoryKalygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 959 is chiral, and its enantiomorph is scale 4025

Scale 4025Scale 4025: Kalygic, Ian Ring Music TheoryKalygic

Transformations:

T0 959  T0I 4025
T1 1918  T1I 3955
T2 3836  T2I 3815
T3 3577  T3I 3535
T4 3059  T4I 2975
T5 2023  T5I 1855
T6 4046  T6I 3710
T7 3997  T7I 3325
T8 3899  T8I 2555
T9 3703  T9I 1015
T10 3311  T10I 2030
T11 2527  T11I 4060

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 957Scale 957: Phronyllic, Ian Ring Music TheoryPhronyllic
Scale 955Scale 955: Ionogyllic, Ian Ring Music TheoryIonogyllic
Scale 951Scale 951: Thogyllic, Ian Ring Music TheoryThogyllic
Scale 943Scale 943: Aerygyllic, Ian Ring Music TheoryAerygyllic
Scale 927Scale 927: Gaptyllic, Ian Ring Music TheoryGaptyllic
Scale 991Scale 991: Aeolygic, Ian Ring Music TheoryAeolygic
Scale 1023Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllian
Scale 831Scale 831: Rodyllic, Ian Ring Music TheoryRodyllic
Scale 895Scale 895: Aeolathygic, Ian Ring Music TheoryAeolathygic
Scale 703Scale 703: Aerocryllic, Ian Ring Music TheoryAerocryllic
Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic
Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic
Scale 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian
Scale 3007Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian

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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.