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Scale 1603

Scale 1603, 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).

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,6,9,10}
Forte Number5-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2125
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 155
Deep Scaleno
Interval Vector213211
Interval Spectrumpm2n3sd2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {3,4,6,8}
<3> = {4,6,8,9}
<4> = {7,9,10,11}
Spectra Variation3.6
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1603 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2849
Scale 2849, Ian Ring Music Theory
3rd mode:
Scale 217
Scale 217, Ian Ring Music Theory
4th mode:
Scale 539
Scale 539, Ian Ring Music Theory
5th mode:
Scale 2317
Scale 2317, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 155

Scale 155Scale 155, Ian Ring Music Theory

Complement

The pentatonic modal family [1603, 2849, 217, 539, 2317] (Forte: 5-16) is the complement of the heptatonic modal family [623, 889, 1939, 2359, 3017, 3227, 3661] (Forte: 7-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1603 is 2125

Scale 2125Scale 2125, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1603 is chiral, and its enantiomorph is scale 2125

Scale 2125Scale 2125, Ian Ring Music Theory

Transformations:

T0 1603  T0I 2125
T1 3206  T1I 155
T2 2317  T2I 310
T3 539  T3I 620
T4 1078  T4I 1240
T5 2156  T5I 2480
T6 217  T6I 865
T7 434  T7I 1730
T8 868  T8I 3460
T9 1736  T9I 2825
T10 3472  T10I 1555
T11 2849  T11I 3110

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 1601Scale 1601, Ian Ring Music Theory
Scale 1605Scale 1605: Zanitonic, Ian Ring Music TheoryZanitonic
Scale 1607Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic
Scale 1611Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic
Scale 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
Scale 1635Scale 1635: Sygimic, Ian Ring Music TheorySygimic
Scale 1539Scale 1539, Ian Ring Music Theory
Scale 1571Scale 1571: Lagitonic, Ian Ring Music TheoryLagitonic
Scale 1667Scale 1667, Ian Ring Music Theory
Scale 1731Scale 1731, Ian Ring Music Theory
Scale 1859Scale 1859, Ian Ring Music Theory
Scale 1091Scale 1091, Ian Ring Music Theory
Scale 1347Scale 1347, Ian Ring Music Theory
Scale 579Scale 579, Ian Ring Music Theory
Scale 2627Scale 2627, Ian Ring Music Theory
Scale 3651Scale 3651, 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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.