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Scale 1607: "Epytimic"

Scale 1607: Epytimic, 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
Epytimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,6,9,10}
Forte Number6-15
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3149
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 311
Deep Scaleno
Interval Vector323421
Interval Spectrump2m4n3s2d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,7}
<3> = {4,6,8}
<4> = {5,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1607 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2851
Scale 2851: Katoptimic, Ian Ring Music TheoryKatoptimic
3rd mode:
Scale 3473
Scale 3473: Lathimic, Ian Ring Music TheoryLathimic
4th mode:
Scale 473
Scale 473: Aeralimic, Ian Ring Music TheoryAeralimic
5th mode:
Scale 571
Scale 571: Kynimic, Ian Ring Music TheoryKynimic
6th mode:
Scale 2333
Scale 2333: Stynimic, Ian Ring Music TheoryStynimic

Prime

The prime form of this scale is Scale 311

Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic

Complement

The hexatonic modal family [1607, 2851, 3473, 473, 571, 2333] (Forte: 6-15) is the complement of the hexatonic modal family [311, 881, 1811, 2203, 2953, 3149] (Forte: 6-15)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1607 is 3149

Scale 3149Scale 3149: Phrycrimic, Ian Ring Music TheoryPhrycrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1607 is chiral, and its enantiomorph is scale 3149

Scale 3149Scale 3149: Phrycrimic, Ian Ring Music TheoryPhrycrimic

Transformations:

T0 1607  T0I 3149
T1 3214  T1I 2203
T2 2333  T2I 311
T3 571  T3I 622
T4 1142  T4I 1244
T5 2284  T5I 2488
T6 473  T6I 881
T7 946  T7I 1762
T8 1892  T8I 3524
T9 3784  T9I 2953
T10 3473  T10I 1811
T11 2851  T11I 3622

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 1605Scale 1605: Zanitonic, Ian Ring Music TheoryZanitonic
Scale 1603Scale 1603, Ian Ring Music Theory
Scale 1611Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic
Scale 1615Scale 1615: Sydian, Ian Ring Music TheorySydian
Scale 1623Scale 1623: Lothian, Ian Ring Music TheoryLothian
Scale 1639Scale 1639: Aeolothian, Ian Ring Music TheoryAeolothian
Scale 1543Scale 1543, Ian Ring Music Theory
Scale 1575Scale 1575: Zycrimic, Ian Ring Music TheoryZycrimic
Scale 1671Scale 1671, Ian Ring Music Theory
Scale 1735Scale 1735: Mela Navanitam, Ian Ring Music TheoryMela Navanitam
Scale 1863Scale 1863: Pycrian, Ian Ring Music TheoryPycrian
Scale 1095Scale 1095: Phrythitonic, Ian Ring Music TheoryPhrythitonic
Scale 1351Scale 1351: Aeraptimic, Ian Ring Music TheoryAeraptimic
Scale 583Scale 583: Aeritonic, Ian Ring Music TheoryAeritonic
Scale 2631Scale 2631: Macrimic, Ian Ring Music TheoryMacrimic
Scale 3655Scale 3655: Mathian, Ian Ring Music TheoryMathian

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