The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2085

Scale 2085, 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

Cardinality4 (tetratonic)
Pitch Class Set{0,2,5,11}
Forte Number4-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1155
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 75
Deep Scaleno
Interval Vector112011
Interval Spectrumpn2sdt
Distribution Spectra<1> = {1,2,3,6}
<2> = {3,5,7,9}
<3> = {6,9,10,11}
Spectra Variation4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2085 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1545
Scale 1545, Ian Ring Music Theory
3rd mode:
Scale 705
Scale 705, Ian Ring Music Theory
4th mode:
Scale 75
Scale 75, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 75

Scale 75Scale 75, Ian Ring Music Theory

Complement

The tetratonic modal family [2085, 1545, 705, 75] (Forte: 4-13) is the complement of the octatonic modal family [735, 1785, 1995, 2415, 3045, 3255, 3675, 3885] (Forte: 8-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2085 is 1155

Scale 1155Scale 1155, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2085 is chiral, and its enantiomorph is scale 1155

Scale 1155Scale 1155, Ian Ring Music Theory

Transformations:

T0 2085  T0I 1155
T1 75  T1I 2310
T2 150  T2I 525
T3 300  T3I 1050
T4 600  T4I 2100
T5 1200  T5I 105
T6 2400  T6I 210
T7 705  T7I 420
T8 1410  T8I 840
T9 2820  T9I 1680
T10 1545  T10I 3360
T11 3090  T11I 2625

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 2087Scale 2087, Ian Ring Music Theory
Scale 2081Scale 2081, Ian Ring Music Theory
Scale 2083Scale 2083, Ian Ring Music Theory
Scale 2089Scale 2089, Ian Ring Music Theory
Scale 2093Scale 2093, Ian Ring Music Theory
Scale 2101Scale 2101, Ian Ring Music Theory
Scale 2053Scale 2053, Ian Ring Music Theory
Scale 2069Scale 2069, Ian Ring Music Theory
Scale 2117Scale 2117: Raga Sumukam, Ian Ring Music TheoryRaga Sumukam
Scale 2149Scale 2149, Ian Ring Music Theory
Scale 2213Scale 2213: Raga Desh, Ian Ring Music TheoryRaga Desh
Scale 2341Scale 2341: Raga Priyadharshini, Ian Ring Music TheoryRaga Priyadharshini
Scale 2597Scale 2597: Raga Rasranjani, Ian Ring Music TheoryRaga Rasranjani
Scale 3109Scale 3109, Ian Ring Music Theory
Scale 37Scale 37, Ian Ring Music Theory
Scale 1061Scale 1061, 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.