The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 3647: "Eporygic"

Scale 3647: Eporygic, 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

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
Eporygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,5,9,10,11}
Forte Number9-1
Rotational Symmetrynone
Reflection Axes1
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia7 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 511
Deep Scaleno
Interval Vector876663
Interval Spectrump6m6n6s7d8t3
Distribution Spectra<1> = {1,4}
<2> = {2,5}
<3> = {3,6}
<4> = {4,7}
<5> = {5,8}
<6> = {6,9}
<7> = {7,10}
<8> = {8,11}
Spectra Variation2.667
Maximally Evenno
Maximal Area Setno
Interior Area2.433
Myhill Propertyyes
Balancedno
Ridge Tones[2]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3647 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3871
Scale 3871: Aerynygic, Ian Ring Music TheoryAerynygic
3rd mode:
Scale 3983
Scale 3983: Thyptygic, Ian Ring Music TheoryThyptygic
4th mode:
Scale 4039
Scale 4039: Ionogygic, Ian Ring Music TheoryIonogygic
5th mode:
Scale 4067
Scale 4067: Aeolarygic, Ian Ring Music TheoryAeolarygic
6th mode:
Scale 4081
Scale 4081: Manygic, Ian Ring Music TheoryManygic
7th mode:
Scale 511
Scale 511: Polygic, Ian Ring Music TheoryPolygicThis is the prime mode
8th mode:
Scale 2303
Scale 2303: Stanygic, Ian Ring Music TheoryStanygic
9th mode:
Scale 3199
Scale 3199: Thaptygic, Ian Ring Music TheoryThaptygic

Prime

The prime form of this scale is Scale 511

Scale 511Scale 511: Polygic, Ian Ring Music TheoryPolygic

Complement

The nonatonic modal family [3647, 3871, 3983, 4039, 4067, 4081, 511, 2303, 3199] (Forte: 9-1) is the complement of the tritonic modal family [7, 2051, 3073] (Forte: 3-1)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3647 is 3983

Scale 3983Scale 3983: Thyptygic, Ian Ring Music TheoryThyptygic

Transformations:

T0 3647  T0I 3983
T1 3199  T1I 3871
T2 2303  T2I 3647
T3 511  T3I 3199
T4 1022  T4I 2303
T5 2044  T5I 511
T6 4088  T6I 1022
T7 4081  T7I 2044
T8 4067  T8I 4088
T9 4039  T9I 4081
T10 3983  T10I 4067
T11 3871  T11I 4039

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 3645Scale 3645: Zycryllic, Ian Ring Music TheoryZycryllic
Scale 3643Scale 3643: Kydyllic, Ian Ring Music TheoryKydyllic
Scale 3639Scale 3639: Paptyllic, Ian Ring Music TheoryPaptyllic
Scale 3631Scale 3631: Gydyllic, Ian Ring Music TheoryGydyllic
Scale 3615Scale 3615, Ian Ring Music Theory
Scale 3679Scale 3679: Rycrygic, Ian Ring Music TheoryRycrygic
Scale 3711Scale 3711: Dycryllian, Ian Ring Music TheoryDycryllian
Scale 3775Scale 3775: Loptyllian, Ian Ring Music TheoryLoptyllian
Scale 3903Scale 3903: Aeogyllian, Ian Ring Music TheoryAeogyllian
Scale 3135Scale 3135, Ian Ring Music Theory
Scale 3391Scale 3391: Aeolynygic, Ian Ring Music TheoryAeolynygic
Scale 2623Scale 2623: Aerylyllic, Ian Ring Music TheoryAerylyllic
Scale 1599Scale 1599: Pocryllic, Ian Ring Music TheoryPocryllic

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.