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Scale 1563

Scale 1563, 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).

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,4,9,10}
Forte Number6-Z13
Rotational Symmetrynone
Reflection Axes0.5
Palindromicno
Chiralityno
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 219
Deep Scaleno
Interval Vector324222
Interval Spectrump2m2n4s2d3t2
Distribution Spectra<1> = {1,2,5}
<2> = {3,6}
<3> = {4,5,7,8}
<4> = {6,9}
<5> = {7,10,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[1]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1563 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2829
Scale 2829, Ian Ring Music Theory
3rd mode:
Scale 1731
Scale 1731, Ian Ring Music Theory
4th mode:
Scale 2913
Scale 2913, Ian Ring Music Theory
5th mode:
Scale 219
Scale 219: Istrian, Ian Ring Music TheoryIstrianThis is the prime mode
6th mode:
Scale 2157
Scale 2157, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 219

Scale 219Scale 219: Istrian, Ian Ring Music TheoryIstrian

Complement

The hexatonic modal family [1563, 2829, 1731, 2913, 219, 2157] (Forte: 6-Z13) is the complement of the hexatonic modal family [591, 633, 969, 2343, 3219, 3657] (Forte: 6-Z42)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1563 is 2829

Scale 2829Scale 2829, Ian Ring Music Theory

Transformations:

T0 1563  T0I 2829
T1 3126  T1I 1563
T2 2157  T2I 3126
T3 219  T3I 2157
T4 438  T4I 219
T5 876  T5I 438
T6 1752  T6I 876
T7 3504  T7I 1752
T8 2913  T8I 3504
T9 1731  T9I 2913
T10 3462  T10I 1731
T11 2829  T11I 3462

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 1561Scale 1561, Ian Ring Music Theory
Scale 1565Scale 1565, Ian Ring Music Theory
Scale 1567Scale 1567, Ian Ring Music Theory
Scale 1555Scale 1555, Ian Ring Music Theory
Scale 1559Scale 1559, Ian Ring Music Theory
Scale 1547Scale 1547, Ian Ring Music Theory
Scale 1579Scale 1579: Sagimic, Ian Ring Music TheorySagimic
Scale 1595Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
Scale 1627Scale 1627: Zyptian, Ian Ring Music TheoryZyptian
Scale 1691Scale 1691: Kathian, Ian Ring Music TheoryKathian
Scale 1819Scale 1819: Pydian, Ian Ring Music TheoryPydian
Scale 1051Scale 1051, Ian Ring Music Theory
Scale 1307Scale 1307: Katorimic, Ian Ring Music TheoryKatorimic
Scale 539Scale 539, Ian Ring Music Theory
Scale 2587Scale 2587, Ian Ring Music Theory
Scale 3611Scale 3611, Ian Ring Music Theory

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