The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 3887: "Phrathygic"

Scale 3887: Phrathygic, 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
Phrathygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,5,8,9,10,11}
Forte Number9-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3743
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 3887 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3991
Scale 3991: Badygic, Ian Ring Music TheoryBadygic
3rd mode:
Scale 4043
Scale 4043: Phrocrygic, Ian Ring Music TheoryPhrocrygic
4th mode:
Scale 4069
Scale 4069: Starygic, Ian Ring Music TheoryStarygic
5th mode:
Scale 2041
Scale 2041: Aeolacrygic, Ian Ring Music TheoryAeolacrygic
6th mode:
Scale 767
Scale 767: Raptygic, Ian Ring Music TheoryRaptygicThis is the prime mode
7th mode:
Scale 2431
Scale 2431: Gythygic, Ian Ring Music TheoryGythygic
8th mode:
Scale 3263
Scale 3263: Pyrygic, Ian Ring Music TheoryPyrygic
9th mode:
Scale 3679
Scale 3679: Rycrygic, Ian Ring Music TheoryRycrygic

Prime

The prime form of this scale is Scale 767

Scale 767Scale 767: Raptygic, Ian Ring Music TheoryRaptygic

Complement

The nonatonic modal family [3887, 3991, 4043, 4069, 2041, 767, 2431, 3263, 3679] (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 3887 is 3743

Scale 3743Scale 3743: Thadygic, Ian Ring Music TheoryThadygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3887 is chiral, and its enantiomorph is scale 3743

Scale 3743Scale 3743: Thadygic, Ian Ring Music TheoryThadygic

Transformations:

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

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 3885Scale 3885: Styryllic, Ian Ring Music TheoryStyryllic
Scale 3883Scale 3883: Kyryllic, Ian Ring Music TheoryKyryllic
Scale 3879Scale 3879: Pathyllic, Ian Ring Music TheoryPathyllic
Scale 3895Scale 3895: Eparygic, Ian Ring Music TheoryEparygic
Scale 3903Scale 3903: Aeogyllian, Ian Ring Music TheoryAeogyllian
Scale 3855Scale 3855, Ian Ring Music Theory
Scale 3871Scale 3871: Aerynygic, Ian Ring Music TheoryAerynygic
Scale 3919Scale 3919: Lynygic, Ian Ring Music TheoryLynygic
Scale 3951Scale 3951: Mathyllian, Ian Ring Music TheoryMathyllian
Scale 4015Scale 4015: Phradyllian, Ian Ring Music TheoryPhradyllian
Scale 3631Scale 3631: Gydyllic, Ian Ring Music TheoryGydyllic
Scale 3759Scale 3759: Darygic, Ian Ring Music TheoryDarygic
Scale 3375Scale 3375, Ian Ring Music Theory
Scale 2863Scale 2863: Aerogyllic, Ian Ring Music TheoryAerogyllic
Scale 1839Scale 1839: Zogyllic, Ian Ring Music TheoryZogyllic

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