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Scale 1007: "Epitygic"

Scale 1007: Epitygic, 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
Epitygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,5,6,7,8,9}
Forte Number9-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3833
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 991
Deep Scaleno
Interval Vector766674
Interval Spectrump7m6n6s6d7t4
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation1.778
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1007 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2551
Scale 2551: Thocrygic, Ian Ring Music TheoryThocrygic
3rd mode:
Scale 3323
Scale 3323: Lacrygic, Ian Ring Music TheoryLacrygic
4th mode:
Scale 3709
Scale 3709: Katynygic, Ian Ring Music TheoryKatynygic
5th mode:
Scale 1951
Scale 1951: Marygic, Ian Ring Music TheoryMarygic
6th mode:
Scale 3023
Scale 3023: Mothygic, Ian Ring Music TheoryMothygic
7th mode:
Scale 3559
Scale 3559: Thophygic, Ian Ring Music TheoryThophygic
8th mode:
Scale 3827
Scale 3827: Bodygic, Ian Ring Music TheoryBodygic
9th mode:
Scale 3961
Scale 3961: Zathygic, Ian Ring Music TheoryZathygic

Prime

The prime form of this scale is Scale 991

Scale 991Scale 991: Aeolygic, Ian Ring Music TheoryAeolygic

Complement

The nonatonic modal family [1007, 2551, 3323, 3709, 1951, 3023, 3559, 3827, 3961] (Forte: 9-5) is the complement of the tritonic modal family [67, 193, 2081] (Forte: 3-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1007 is 3833

Scale 3833Scale 3833: Dycrygic, Ian Ring Music TheoryDycrygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1007 is chiral, and its enantiomorph is scale 3833

Scale 3833Scale 3833: Dycrygic, Ian Ring Music TheoryDycrygic

Transformations:

T0 1007  T0I 3833
T1 2014  T1I 3571
T2 4028  T2I 3047
T3 3961  T3I 1999
T4 3827  T4I 3998
T5 3559  T5I 3901
T6 3023  T6I 3707
T7 1951  T7I 3319
T8 3902  T8I 2543
T9 3709  T9I 991
T10 3323  T10I 1982
T11 2551  T11I 3964

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 1005Scale 1005: Radyllic, Ian Ring Music TheoryRadyllic
Scale 1003Scale 1003: Ionyryllic, Ian Ring Music TheoryIonyryllic
Scale 999Scale 999: Ionodyllic, Ian Ring Music TheoryIonodyllic
Scale 1015Scale 1015: Ionodygic, Ian Ring Music TheoryIonodygic
Scale 1023Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllian
Scale 975Scale 975: Messiaen Mode 4, Ian Ring Music TheoryMessiaen Mode 4
Scale 991Scale 991: Aeolygic, Ian Ring Music TheoryAeolygic
Scale 943Scale 943: Aerygyllic, Ian Ring Music TheoryAerygyllic
Scale 879Scale 879: Aeranyllic, Ian Ring Music TheoryAeranyllic
Scale 751Scale 751, Ian Ring Music Theory
Scale 495Scale 495: Bocryllic, Ian Ring Music TheoryBocryllic
Scale 1519Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian Mixed
Scale 2031Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian
Scale 3055Scale 3055: Messiaen Mode 7, Ian Ring Music TheoryMessiaen Mode 7

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.