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Scale 3955: "Pothygic"

Scale 3955: Pothygic, 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
Pothygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,4,5,6,8,9,10,11}
Forte Number9-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2527
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 3955 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 4025
Scale 4025: Kalygic, Ian Ring Music TheoryKalygic
3rd mode:
Scale 1015
Scale 1015: Ionodygic, Ian Ring Music TheoryIonodygic
4th mode:
Scale 2555
Scale 2555: Bythygic, Ian Ring Music TheoryBythygic
5th mode:
Scale 3325
Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic
6th mode:
Scale 1855
Scale 1855: Gaptygic, Ian Ring Music TheoryGaptygic
7th mode:
Scale 2975
Scale 2975: Aeroptygic, Ian Ring Music TheoryAeroptygic
8th mode:
Scale 3535
Scale 3535: Mylygic, Ian Ring Music TheoryMylygic
9th mode:
Scale 3815
Scale 3815: Galygic, Ian Ring Music TheoryGalygic

Prime

The prime form of this scale is Scale 959

Scale 959Scale 959: Katylygic, Ian Ring Music TheoryKatylygic

Complement

The nonatonic modal family [3955, 4025, 1015, 2555, 3325, 1855, 2975, 3535, 3815] (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 3955 is 2527

Scale 2527Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3955 is chiral, and its enantiomorph is scale 2527

Scale 2527Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic

Transformations:

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

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 3953Scale 3953: Thagyllic, Ian Ring Music TheoryThagyllic
Scale 3957Scale 3957: Porygic, Ian Ring Music TheoryPorygic
Scale 3959Scale 3959: Katagyllian, Ian Ring Music TheoryKatagyllian
Scale 3963Scale 3963: Aeoryllian, Ian Ring Music TheoryAeoryllian
Scale 3939Scale 3939: Dogyllic, Ian Ring Music TheoryDogyllic
Scale 3947Scale 3947: Ryptygic, Ian Ring Music TheoryRyptygic
Scale 3923Scale 3923: Stoptyllic, Ian Ring Music TheoryStoptyllic
Scale 3891Scale 3891: Ryryllic, Ian Ring Music TheoryRyryllic
Scale 4019Scale 4019: Lonygic, Ian Ring Music TheoryLonygic
Scale 4083Scale 4083: Bathyllian, Ian Ring Music TheoryBathyllian
Scale 3699Scale 3699: Galyllic, Ian Ring Music TheoryGalyllic
Scale 3827Scale 3827: Bodygic, Ian Ring Music TheoryBodygic
Scale 3443Scale 3443: Verdi's Scala Enigmatica, Ian Ring Music TheoryVerdi's Scala Enigmatica
Scale 2931Scale 2931: Zathyllic, Ian Ring Music TheoryZathyllic
Scale 1907Scale 1907: Lynyllic, Ian Ring Music TheoryLynyllic

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.