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Scale 3085

Scale 3085, 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{0,2,3,10,11}
Forte Number5-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1543
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 55
Deep Scaleno
Interval Vector322210
Interval Spectrumpm2n2s2d3
Distribution Spectra<1> = {1,2,7}
<2> = {2,3,8}
<3> = {4,9,10}
<4> = {5,10,11}
Spectra Variation4.8
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3085 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1795
Scale 1795, Ian Ring Music Theory
3rd mode:
Scale 2945
Scale 2945, Ian Ring Music Theory
4th mode:
Scale 55
Scale 55, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2075
Scale 2075, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 55

Scale 55Scale 55, Ian Ring Music Theory

Complement

The pentatonic modal family [3085, 1795, 2945, 55, 2075] (Forte: 5-3) is the complement of the heptatonic modal family [319, 1009, 2207, 3151, 3623, 3859, 3977] (Forte: 7-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3085 is 1543

Scale 1543Scale 1543, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3085 is chiral, and its enantiomorph is scale 1543

Scale 1543Scale 1543, Ian Ring Music Theory

Transformations:

T0 3085  T0I 1543
T1 2075  T1I 3086
T2 55  T2I 2077
T3 110  T3I 59
T4 220  T4I 118
T5 440  T5I 236
T6 880  T6I 472
T7 1760  T7I 944
T8 3520  T8I 1888
T9 2945  T9I 3776
T10 1795  T10I 3457
T11 3590  T11I 2819

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 3087Scale 3087, Ian Ring Music Theory
Scale 3081Scale 3081, Ian Ring Music Theory
Scale 3083Scale 3083, Ian Ring Music Theory
Scale 3077Scale 3077, Ian Ring Music Theory
Scale 3093Scale 3093, Ian Ring Music Theory
Scale 3101Scale 3101, Ian Ring Music Theory
Scale 3117Scale 3117, Ian Ring Music Theory
Scale 3149Scale 3149: Phrycrimic, Ian Ring Music TheoryPhrycrimic
Scale 3213Scale 3213: Eponimic, Ian Ring Music TheoryEponimic
Scale 3341Scale 3341, Ian Ring Music Theory
Scale 3597Scale 3597, Ian Ring Music Theory
Scale 2061Scale 2061, Ian Ring Music Theory
Scale 2573Scale 2573, Ian Ring Music Theory
Scale 1037Scale 1037: Warao Tetratonic, Ian Ring Music TheoryWarao Tetratonic

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.