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Scale 3561: "Pothyllic"

Scale 3561: Pothyllic, 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
Pothyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,3,5,6,7,8,10,11}
Forte Number8-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 759
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes7
Prime?no
prime: 759
Deep Scaleno
Interval Vector555562
Interval Spectrump6m5n5s5d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {5,7}
<5> = {6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3561 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 957
Scale 957: Phronyllic, Ian Ring Music TheoryPhronyllic
3rd mode:
Scale 1263
Scale 1263: Stynyllic, Ian Ring Music TheoryStynyllic
4th mode:
Scale 2679
Scale 2679: Rathyllic, Ian Ring Music TheoryRathyllic
5th mode:
Scale 3387
Scale 3387: Aeryptyllic, Ian Ring Music TheoryAeryptyllic
6th mode:
Scale 3741
Scale 3741: Zydyllic, Ian Ring Music TheoryZydyllic
7th mode:
Scale 1959
Scale 1959: Katolyllic, Ian Ring Music TheoryKatolyllic
8th mode:
Scale 3027
Scale 3027: Rythyllic, Ian Ring Music TheoryRythyllic

Prime

The prime form of this scale is Scale 759

Scale 759Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllic

Complement

The octatonic modal family [3561, 957, 1263, 2679, 3387, 3741, 1959, 3027] (Forte: 8-14) is the complement of the tetratonic modal family [141, 417, 1059, 2577] (Forte: 4-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3561 is 759

Scale 759Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3561 is chiral, and its enantiomorph is scale 759

Scale 759Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllic

Transformations:

T0 3561  T0I 759
T1 3027  T1I 1518
T2 1959  T2I 3036
T3 3918  T3I 1977
T4 3741  T4I 3954
T5 3387  T5I 3813
T6 2679  T6I 3531
T7 1263  T7I 2967
T8 2526  T8I 1839
T9 957  T9I 3678
T10 1914  T10I 3261
T11 3828  T11I 2427

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 3563Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic
Scale 3565Scale 3565: Aeolorygic, Ian Ring Music TheoryAeolorygic
Scale 3553Scale 3553, Ian Ring Music Theory
Scale 3557Scale 3557, Ian Ring Music Theory
Scale 3569Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic
Scale 3577Scale 3577: Loptygic, Ian Ring Music TheoryLoptygic
Scale 3529Scale 3529: Stalian, Ian Ring Music TheoryStalian
Scale 3545Scale 3545: Thyptyllic, Ian Ring Music TheoryThyptyllic
Scale 3497Scale 3497: Phrolian, Ian Ring Music TheoryPhrolian
Scale 3433Scale 3433: Thonian, Ian Ring Music TheoryThonian
Scale 3305Scale 3305: Chromatic Hypophrygian, Ian Ring Music TheoryChromatic Hypophrygian
Scale 3817Scale 3817: Zoryllic, Ian Ring Music TheoryZoryllic
Scale 4073Scale 4073: Sathygic, Ian Ring Music TheorySathygic
Scale 2537Scale 2537: Laptian, Ian Ring Music TheoryLaptian
Scale 3049Scale 3049: Phrydyllic, Ian Ring Music TheoryPhrydyllic
Scale 1513Scale 1513: Stathian, Ian Ring Music TheoryStathian

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.