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Scale 3065: "Zothygic"

Scale 3065: Zothygic, 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
Zothygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,3,4,5,6,7,8,9,11}
Forte Number9-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1019
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 895
Deep Scaleno
Interval Vector767763
Interval Spectrump6m7n7s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2.222
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3065 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 895
Scale 895: Aeolathygic, Ian Ring Music TheoryAeolathygicThis is the prime mode
3rd mode:
Scale 2495
Scale 2495: Aeolocrygic, Ian Ring Music TheoryAeolocrygic
4th mode:
Scale 3295
Scale 3295: Phroptygic, Ian Ring Music TheoryPhroptygic
5th mode:
Scale 3695
Scale 3695: Kodygic, Ian Ring Music TheoryKodygic
6th mode:
Scale 3895
Scale 3895: Eparygic, Ian Ring Music TheoryEparygic
7th mode:
Scale 3995
Scale 3995: Ionygic, Ian Ring Music TheoryIonygic
8th mode:
Scale 4045
Scale 4045: Gyptygic, Ian Ring Music TheoryGyptygic
9th mode:
Scale 2035
Scale 2035: Aerythygic, Ian Ring Music TheoryAerythygic

Prime

The prime form of this scale is Scale 895

Scale 895Scale 895: Aeolathygic, Ian Ring Music TheoryAeolathygic

Complement

The nonatonic modal family [3065, 895, 2495, 3295, 3695, 3895, 3995, 4045, 2035] (Forte: 9-3) is the complement of the tritonic modal family [19, 769, 2057] (Forte: 3-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3065 is 1019

Scale 1019Scale 1019: Aeranygic, Ian Ring Music TheoryAeranygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3065 is chiral, and its enantiomorph is scale 1019

Scale 1019Scale 1019: Aeranygic, Ian Ring Music TheoryAeranygic

Transformations:

T0 3065  T0I 1019
T1 2035  T1I 2038
T2 4070  T2I 4076
T3 4045  T3I 4057
T4 3995  T4I 4019
T5 3895  T5I 3943
T6 3695  T6I 3791
T7 3295  T7I 3487
T8 2495  T8I 2879
T9 895  T9I 1663
T10 1790  T10I 3326
T11 3580  T11I 2557

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 3067Scale 3067: Goptyllian, Ian Ring Music TheoryGoptyllian
Scale 3069Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
Scale 3057Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic
Scale 3061Scale 3061: Apinygic, Ian Ring Music TheoryApinygic
Scale 3049Scale 3049: Phrydyllic, Ian Ring Music TheoryPhrydyllic
Scale 3033Scale 3033: Doptyllic, Ian Ring Music TheoryDoptyllic
Scale 3001Scale 3001: Lonyllic, Ian Ring Music TheoryLonyllic
Scale 2937Scale 2937: Phragyllic, Ian Ring Music TheoryPhragyllic
Scale 2809Scale 2809: Gythyllic, Ian Ring Music TheoryGythyllic
Scale 2553Scale 2553: Aeolaptyllic, Ian Ring Music TheoryAeolaptyllic
Scale 3577Scale 3577: Loptygic, Ian Ring Music TheoryLoptygic
Scale 4089Scale 4089: Katoryllian, Ian Ring Music TheoryKatoryllian
Scale 1017Scale 1017: Dythyllic, Ian Ring Music TheoryDythyllic
Scale 2041Scale 2041: Aeolacrygic, Ian Ring Music TheoryAeolacrygic

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.