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Scale 3025: "Epycrian"

Scale 3025: Epycrian, 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

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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
Epycrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,4,6,7,8,9,11}
Forte Number7-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 379
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 379
Deep Scaleno
Interval Vector444441
Interval Spectrump4m4n4s4d4t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,7}
<4> = {5,8,9}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation3.143
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3025 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 445
Scale 445: Gocrian, Ian Ring Music TheoryGocrian
3rd mode:
Scale 1135
Scale 1135: Katolian, Ian Ring Music TheoryKatolian
4th mode:
Scale 2615
Scale 2615: Thoptian, Ian Ring Music TheoryThoptian
5th mode:
Scale 3355
Scale 3355: Bagian, Ian Ring Music TheoryBagian
6th mode:
Scale 3725
Scale 3725: Kyrian, Ian Ring Music TheoryKyrian
7th mode:
Scale 1955
Scale 1955: Sonian, Ian Ring Music TheorySonian

Prime

The prime form of this scale is Scale 379

Scale 379Scale 379: Aeragian, Ian Ring Music TheoryAeragian

Complement

The heptatonic modal family [3025, 445, 1135, 2615, 3355, 3725, 1955] (Forte: 7-11) is the complement of the pentatonic modal family [157, 929, 1063, 2579, 3337] (Forte: 5-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3025 is 379

Scale 379Scale 379: Aeragian, Ian Ring Music TheoryAeragian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3025 is chiral, and its enantiomorph is scale 379

Scale 379Scale 379: Aeragian, Ian Ring Music TheoryAeragian

Transformations:

T0 3025  T0I 379
T1 1955  T1I 758
T2 3910  T2I 1516
T3 3725  T3I 3032
T4 3355  T4I 1969
T5 2615  T5I 3938
T6 1135  T6I 3781
T7 2270  T7I 3467
T8 445  T8I 2839
T9 890  T9I 1583
T10 1780  T10I 3166
T11 3560  T11I 2237

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 3027Scale 3027: Rythyllic, Ian Ring Music TheoryRythyllic
Scale 3029Scale 3029: Ionocryllic, Ian Ring Music TheoryIonocryllic
Scale 3033Scale 3033: Doptyllic, Ian Ring Music TheoryDoptyllic
Scale 3009Scale 3009, Ian Ring Music Theory
Scale 3017Scale 3017: Gacrian, Ian Ring Music TheoryGacrian
Scale 3041Scale 3041, Ian Ring Music Theory
Scale 3057Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic
Scale 2961Scale 2961: Bygimic, Ian Ring Music TheoryBygimic
Scale 2993Scale 2993: Stythian, Ian Ring Music TheoryStythian
Scale 2897Scale 2897: Rycrimic, Ian Ring Music TheoryRycrimic
Scale 2769Scale 2769: Dyrimic, Ian Ring Music TheoryDyrimic
Scale 2513Scale 2513: Aerycrimic, Ian Ring Music TheoryAerycrimic
Scale 3537Scale 3537: Katogian, Ian Ring Music TheoryKatogian
Scale 4049Scale 4049: Stycryllic, Ian Ring Music TheoryStycryllic
Scale 977Scale 977: Kocrimic, Ian Ring Music TheoryKocrimic
Scale 2001Scale 2001: Gydian, Ian Ring Music TheoryGydian

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