The Exciting Universe Of Music Theory

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Scale 85

Scale 85, 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

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).


Cardinality4 (tetratonic)
Pitch Class Set{0,2,4,6}
Forte Number4-21
Rotational Symmetrynone
Reflection Axes3
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Deep Scaleno
Interval Vector030201
Interval Spectrumm2s3t
Distribution Spectra<1> = {2,6}
<2> = {4,8}
<3> = {6,10}
Spectra Variation3
Maximally Evenno
Maximal Area Setno
Interior Area1.299
Myhill Propertyyes
Ridge Tones[6]

Common Triads

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.


Modes are the rotational transformation of this scale. Scale 85 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1045
Scale 1045, Ian Ring Music Theory
3rd mode:
Scale 1285
Scale 1285, Ian Ring Music Theory
4th mode:
Scale 1345
Scale 1345, Ian Ring Music Theory


This is the prime form of this scale.


The tetratonic modal family [85, 1045, 1285, 1345] (Forte: 4-21) is the complement of the octatonic modal family [1375, 1405, 1525, 2005, 2735, 3415, 3755, 3925] (Forte: 8-21)


The inverse of a scale is a reflection using the root as its axis. The inverse of 85 is 1345

Scale 1345Scale 1345, Ian Ring Music Theory


T0 85  T0I 1345
T1 170  T1I 2690
T2 340  T2I 1285
T3 680  T3I 2570
T4 1360  T4I 1045
T5 2720  T5I 2090
T6 1345  T6I 85
T7 2690  T7I 170
T8 1285  T8I 340
T9 2570  T9I 680
T10 1045  T10I 1360
T11 2090  T11I 2720

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 87Scale 87, Ian Ring Music Theory
Scale 81Scale 81, Ian Ring Music Theory
Scale 83Scale 83, Ian Ring Music Theory
Scale 89Scale 89, Ian Ring Music Theory
Scale 93Scale 93, Ian Ring Music Theory
Scale 69Scale 69, Ian Ring Music Theory
Scale 77Scale 77, Ian Ring Music Theory
Scale 101Scale 101, Ian Ring Music Theory
Scale 117Scale 117, Ian Ring Music Theory
Scale 21Scale 21, Ian Ring Music Theory
Scale 53Scale 53, Ian Ring Music Theory
Scale 149Scale 149: Eskimo Tetratonic, Ian Ring Music TheoryEskimo Tetratonic
Scale 213Scale 213, Ian Ring Music Theory
Scale 341Scale 341: Bothitonic, Ian Ring Music TheoryBothitonic
Scale 597Scale 597: Kung, Ian Ring Music TheoryKung
Scale 1109Scale 1109: Kataditonic, Ian Ring Music TheoryKataditonic
Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki

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 ( 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.