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Scale 3205

Scale 3205, 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{0,2,7,10,11}
Forte Number5-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1063
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 157
Deep Scaleno
Interval Vector222220
Interval Spectrump2m2n2s2d2
Distribution Spectra<1> = {1,2,3,5}
<2> = {2,3,4,7,8}
<3> = {4,5,8,9,10}
<4> = {7,9,10,11}
Spectra Variation4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3205 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1825
Scale 1825, Ian Ring Music Theory
3rd mode:
Scale 185
Scale 185, Ian Ring Music Theory
4th mode:
Scale 535
Scale 535, Ian Ring Music Theory
5th mode:
Scale 2315
Scale 2315, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 157

Scale 157Scale 157, Ian Ring Music Theory

Complement

The pentatonic modal family [3205, 1825, 185, 535, 2315] (Forte: 5-11) is the complement of the heptatonic modal family [379, 1583, 1969, 2237, 2839, 3467, 3781] (Forte: 7-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3205 is 1063

Scale 1063Scale 1063, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3205 is chiral, and its enantiomorph is scale 1063

Scale 1063Scale 1063, Ian Ring Music Theory

Transformations:

T0 3205  T0I 1063
T1 2315  T1I 2126
T2 535  T2I 157
T3 1070  T3I 314
T4 2140  T4I 628
T5 185  T5I 1256
T6 370  T6I 2512
T7 740  T7I 929
T8 1480  T8I 1858
T9 2960  T9I 3716
T10 1825  T10I 3337
T11 3650  T11I 2579

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 3207Scale 3207, Ian Ring Music Theory
Scale 3201Scale 3201, Ian Ring Music Theory
Scale 3203Scale 3203, Ian Ring Music Theory
Scale 3209Scale 3209: Aeraphitonic, Ian Ring Music TheoryAeraphitonic
Scale 3213Scale 3213: Eponimic, Ian Ring Music TheoryEponimic
Scale 3221Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic
Scale 3237Scale 3237: Raga Brindabani Sarang, Ian Ring Music TheoryRaga Brindabani Sarang
Scale 3269Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani
Scale 3077Scale 3077, Ian Ring Music Theory
Scale 3141Scale 3141: Kanitonic, Ian Ring Music TheoryKanitonic
Scale 3333Scale 3333, Ian Ring Music Theory
Scale 3461Scale 3461, Ian Ring Music Theory
Scale 3717Scale 3717, Ian Ring Music Theory
Scale 2181Scale 2181, Ian Ring Music Theory
Scale 2693Scale 2693, Ian Ring Music Theory
Scale 1157Scale 1157, 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.