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Scale 4043: "Phrocrygic"

Scale 4043: Phrocrygic, 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.

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
Phrocrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,3,6,7,8,9,10,11}
Forte Number9-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2687
Hemitonia7 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 767
Deep Scaleno
Interval Vector777663
Interval Spectrump6m6n7s7d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {7,8,9,10}
<8> = {9,10,11}
Spectra Variation2.444
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4043 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 4069
Scale 4069: Starygic, Ian Ring Music TheoryStarygic
3rd mode:
Scale 2041
Scale 2041: Aeolacrygic, Ian Ring Music TheoryAeolacrygic
4th mode:
Scale 767
Scale 767: Raptygic, Ian Ring Music TheoryRaptygicThis is the prime mode
5th mode:
Scale 2431
Scale 2431: Gythygic, Ian Ring Music TheoryGythygic
6th mode:
Scale 3263
Scale 3263: Pyrygic, Ian Ring Music TheoryPyrygic
7th mode:
Scale 3679
Scale 3679: Rycrygic, Ian Ring Music TheoryRycrygic
8th mode:
Scale 3887
Scale 3887: Phrathygic, Ian Ring Music TheoryPhrathygic
9th mode:
Scale 3991
Scale 3991: Badygic, Ian Ring Music TheoryBadygic

Prime

The prime form of this scale is Scale 767

Scale 767Scale 767: Raptygic, Ian Ring Music TheoryRaptygic

Complement

The nonatonic modal family [4043, 4069, 2041, 767, 2431, 3263, 3679, 3887, 3991] (Forte: 9-2) is the complement of the tritonic modal family [11, 1537, 2053] (Forte: 3-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4043 is 2687

Scale 2687Scale 2687: Thacrygic, Ian Ring Music TheoryThacrygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 4043 is chiral, and its enantiomorph is scale 2687

Scale 2687Scale 2687: Thacrygic, Ian Ring Music TheoryThacrygic

Transformations:

T0 4043  T0I 2687
T1 3991  T1I 1279
T2 3887  T2I 2558
T3 3679  T3I 1021
T4 3263  T4I 2042
T5 2431  T5I 4084
T6 767  T6I 4073
T7 1534  T7I 4051
T8 3068  T8I 4007
T9 2041  T9I 3919
T10 4082  T10I 3743
T11 4069  T11I 3391

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 4041Scale 4041: Zaryllic, Ian Ring Music TheoryZaryllic
Scale 4045Scale 4045: Gyptygic, Ian Ring Music TheoryGyptygic
Scale 4047Scale 4047: Thogyllian, Ian Ring Music TheoryThogyllian
Scale 4035Scale 4035, Ian Ring Music Theory
Scale 4039Scale 4039: Ionogygic, Ian Ring Music TheoryIonogygic
Scale 4051Scale 4051: Ionilygic, Ian Ring Music TheoryIonilygic
Scale 4059Scale 4059: Zolyllian, Ian Ring Music TheoryZolyllian
Scale 4075Scale 4075: Katyllian, Ian Ring Music TheoryKatyllian
Scale 3979Scale 3979: Dynyllic, Ian Ring Music TheoryDynyllic
Scale 4011Scale 4011: Styrygic, Ian Ring Music TheoryStyrygic
Scale 3915Scale 3915, Ian Ring Music Theory
Scale 3787Scale 3787: Kagyllic, Ian Ring Music TheoryKagyllic
Scale 3531Scale 3531: Neveseri, Ian Ring Music TheoryNeveseri
Scale 3019Scale 3019, Ian Ring Music Theory
Scale 1995Scale 1995: Aeolacryllic, Ian Ring Music TheoryAeolacryllic

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. Bibliography