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Scale 3703: "Katalygic"

Scale 3703: Katalygic, 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
Katalygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,4,5,6,9,10,11}
Forte Number9-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3535
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 959
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
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3703 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3899
Scale 3899: Katorygic, Ian Ring Music TheoryKatorygic
3rd mode:
Scale 3997
Scale 3997: Dogygic, Ian Ring Music TheoryDogygic
4th mode:
Scale 2023
Scale 2023: Zodygic, Ian Ring Music TheoryZodygic
5th mode:
Scale 3059
Scale 3059: Madygic, Ian Ring Music TheoryMadygic
6th mode:
Scale 3577
Scale 3577: Loptygic, Ian Ring Music TheoryLoptygic
7th mode:
Scale 959
Scale 959: Katylygic, Ian Ring Music TheoryKatylygicThis is the prime mode
8th mode:
Scale 2527
Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic
9th mode:
Scale 3311
Scale 3311: Mixodygic, Ian Ring Music TheoryMixodygic

Prime

The prime form of this scale is Scale 959

Scale 959Scale 959: Katylygic, Ian Ring Music TheoryKatylygic

Complement

The nonatonic modal family [3703, 3899, 3997, 2023, 3059, 3577, 959, 2527, 3311] (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 3703 is 3535

Scale 3535Scale 3535: Mylygic, Ian Ring Music TheoryMylygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3703 is chiral, and its enantiomorph is scale 3535

Scale 3535Scale 3535: Mylygic, Ian Ring Music TheoryMylygic

Transformations:

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

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 3701Scale 3701: Bagyllic, Ian Ring Music TheoryBagyllic
Scale 3699Scale 3699: Galyllic, Ian Ring Music TheoryGalyllic
Scale 3707Scale 3707: Rynygic, Ian Ring Music TheoryRynygic
Scale 3711Scale 3711: Dycryllian, Ian Ring Music TheoryDycryllian
Scale 3687Scale 3687: Zonyllic, Ian Ring Music TheoryZonyllic
Scale 3695Scale 3695: Kodygic, Ian Ring Music TheoryKodygic
Scale 3671Scale 3671: Aeonyllic, Ian Ring Music TheoryAeonyllic
Scale 3639Scale 3639: Paptyllic, Ian Ring Music TheoryPaptyllic
Scale 3767Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
Scale 3831Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian
Scale 3959Scale 3959: Katagyllian, Ian Ring Music TheoryKatagyllian
Scale 3191Scale 3191: Bynyllic, Ian Ring Music TheoryBynyllic
Scale 3447Scale 3447: Mogyllian, Ian Ring Music TheoryMogyllian
Scale 2679Scale 2679: Rathyllic, Ian Ring Music TheoryRathyllic
Scale 1655Scale 1655: Katygyllic, Ian Ring Music TheoryKatygyllic

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.