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Scale 205

Scale 205, 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{0,2,3,6,7}
Forte Number5-Z18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1633
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 179
Deep Scaleno
Interval Vector212221
Interval Spectrump2m2n2sd2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {3,4,6,7}
<3> = {5,6,8,9}
<4> = {7,9,10,11}
Spectra Variation3.2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 205 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1075
Scale 1075, Ian Ring Music Theory
3rd mode:
Scale 2585
Scale 2585, Ian Ring Music Theory
4th mode:
Scale 835
Scale 835, Ian Ring Music Theory
5th mode:
Scale 2465
Scale 2465: Raga Devaranjani, Ian Ring Music TheoryRaga Devaranjani

Prime

The prime form of this scale is Scale 179

Scale 179Scale 179, Ian Ring Music Theory

Complement

The pentatonic modal family [205, 1075, 2585, 835, 2465] (Forte: 5-Z18) is the complement of the heptatonic modal family [755, 815, 1945, 2425, 2455, 3275, 3685] (Forte: 7-Z18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 205 is 1633

Scale 1633Scale 1633, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 205 is chiral, and its enantiomorph is scale 1633

Scale 1633Scale 1633, Ian Ring Music Theory

Transformations:

T0 205  T0I 1633
T1 410  T1I 3266
T2 820  T2I 2437
T3 1640  T3I 779
T4 3280  T4I 1558
T5 2465  T5I 3116
T6 835  T6I 2137
T7 1670  T7I 179
T8 3340  T8I 358
T9 2585  T9I 716
T10 1075  T10I 1432
T11 2150  T11I 2864

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 207Scale 207, Ian Ring Music Theory
Scale 201Scale 201, Ian Ring Music Theory
Scale 203Scale 203, Ian Ring Music Theory
Scale 197Scale 197, Ian Ring Music Theory
Scale 213Scale 213, Ian Ring Music Theory
Scale 221Scale 221, Ian Ring Music Theory
Scale 237Scale 237, Ian Ring Music Theory
Scale 141Scale 141, Ian Ring Music Theory
Scale 173Scale 173: Raga Purnalalita, Ian Ring Music TheoryRaga Purnalalita
Scale 77Scale 77, Ian Ring Music Theory
Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic
Scale 461Scale 461: Raga Syamalam, Ian Ring Music TheoryRaga Syamalam
Scale 717Scale 717: Raga Vijayanagari, Ian Ring Music TheoryRaga Vijayanagari
Scale 1229Scale 1229: Raga Simharava, Ian Ring Music TheoryRaga Simharava
Scale 2253Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya

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.