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Scale 1985

Scale 1985, 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

Cardinality6 (hexatonic)
Pitch Class Set{0,6,7,8,9,10}
Forte Number6-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 125
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections5
Modes5
Prime?no
prime: 95
Deep Scaleno
Interval Vector443211
Interval Spectrumpm2n3s4d4t
Distribution Spectra<1> = {1,2,6}
<2> = {2,3,7,8}
<3> = {3,4,8,9}
<4> = {4,5,9,10}
<5> = {6,10,11}
Spectra Variation4.667
Maximally Evenno
Maximal Area Setno
Interior Area1.433
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 Triadsf♯°{6,9,0}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 1985 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 95
Scale 95, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2095
Scale 2095, Ian Ring Music Theory
4th mode:
Scale 3095
Scale 3095, Ian Ring Music Theory
5th mode:
Scale 3595
Scale 3595, Ian Ring Music Theory
6th mode:
Scale 3845
Scale 3845, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 95

Scale 95Scale 95, Ian Ring Music Theory

Complement

The hexatonic modal family [1985, 95, 2095, 3095, 3595, 3845] (Forte: 6-2) is the complement of the hexatonic modal family [95, 1985, 2095, 3095, 3595, 3845] (Forte: 6-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1985 is 125

Scale 125Scale 125, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1985 is chiral, and its enantiomorph is scale 125

Scale 125Scale 125, Ian Ring Music Theory

Transformations:

T0 1985  T0I 125
T1 3970  T1I 250
T2 3845  T2I 500
T3 3595  T3I 1000
T4 3095  T4I 2000
T5 2095  T5I 4000
T6 95  T6I 3905
T7 190  T7I 3715
T8 380  T8I 3335
T9 760  T9I 2575
T10 1520  T10I 1055
T11 3040  T11I 2110

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 1987Scale 1987, Ian Ring Music Theory
Scale 1989Scale 1989: Dydian, Ian Ring Music TheoryDydian
Scale 1993Scale 1993: Katoptian, Ian Ring Music TheoryKatoptian
Scale 2001Scale 2001: Gydian, Ian Ring Music TheoryGydian
Scale 2017Scale 2017, Ian Ring Music Theory
Scale 1921Scale 1921, Ian Ring Music Theory
Scale 1953Scale 1953, Ian Ring Music Theory
Scale 1857Scale 1857, Ian Ring Music Theory
Scale 1729Scale 1729, Ian Ring Music Theory
Scale 1473Scale 1473, Ian Ring Music Theory
Scale 961Scale 961, Ian Ring Music Theory
Scale 3009Scale 3009, Ian Ring Music Theory
Scale 4033Scale 4033, 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.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.