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Scale 3593

Scale 3593, 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

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

Cardinality5 (pentatonic)
Pitch Class Set{0,3,9,10,11}
Forte Number5-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 527
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes4
Prime?no
prime: 79
Deep Scaleno
Interval Vector322111
Interval Spectrumpmn2s2d3t
Distribution Spectra<1> = {1,3,6}
<2> = {2,4,7,9}
<3> = {3,5,8,10}
<4> = {6,9,11}
Spectra Variation4.8
Maximally Evenno
Maximal Area Setno
Interior Area1.25
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Diminished Triads{9,0,3}000

Since there is only one common triad in this scale, there are no opportunities for parsimonious voice leading between triads.

Modes

Modes are the rotational transformation of this scale. Scale 3593 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 961
Scale 961, Ian Ring Music Theory
3rd mode:
Scale 79
Scale 79, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2087
Scale 2087, Ian Ring Music Theory
5th mode:
Scale 3091
Scale 3091, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 79

Scale 79Scale 79, Ian Ring Music Theory

Complement

The pentatonic modal family [3593, 961, 79, 2087, 3091] (Forte: 5-4) is the complement of the heptatonic modal family [223, 1987, 2159, 3041, 3127, 3611, 3853] (Forte: 7-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3593 is 527

Scale 527Scale 527, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3593 is chiral, and its enantiomorph is scale 527

Scale 527Scale 527, Ian Ring Music Theory

Transformations:

T0 3593  T0I 527
T1 3091  T1I 1054
T2 2087  T2I 2108
T3 79  T3I 121
T4 158  T4I 242
T5 316  T5I 484
T6 632  T6I 968
T7 1264  T7I 1936
T8 2528  T8I 3872
T9 961  T9I 3649
T10 1922  T10I 3203
T11 3844  T11I 2311

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 3595Scale 3595, Ian Ring Music Theory
Scale 3597Scale 3597, Ian Ring Music Theory
Scale 3585Scale 3585, Ian Ring Music Theory
Scale 3589Scale 3589, Ian Ring Music Theory
Scale 3601Scale 3601, Ian Ring Music Theory
Scale 3609Scale 3609, Ian Ring Music Theory
Scale 3625Scale 3625: Podimic, Ian Ring Music TheoryPodimic
Scale 3657Scale 3657: Epynimic, Ian Ring Music TheoryEpynimic
Scale 3721Scale 3721: Phragimic, Ian Ring Music TheoryPhragimic
Scale 3849Scale 3849, Ian Ring Music Theory
Scale 3081Scale 3081, Ian Ring Music Theory
Scale 3337Scale 3337, Ian Ring Music Theory
Scale 2569Scale 2569, Ian Ring Music Theory
Scale 1545Scale 1545, 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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.