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Scale 1285

Scale 1285, 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

Cardinality4 (tetratonic)
Pitch Class Set{0,2,8,10}
Forte Number4-21
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes3
Prime?no
prime: 85
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
Balancedno
Ridge Tones[10]
ProprietyImproper
Heliotonicno

Common Triads

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

Modes

Modes are the rotational transformation of this scale. Scale 1285 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1345
Scale 1345, Ian Ring Music Theory
3rd mode:
Scale 85
Scale 85, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 1045
Scale 1045, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 85

Scale 85Scale 85, Ian Ring Music Theory

Complement

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

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1285 is 1045

Scale 1045Scale 1045, Ian Ring Music Theory

Transformations:

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

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 1287Scale 1287, Ian Ring Music Theory
Scale 1281Scale 1281, Ian Ring Music Theory
Scale 1283Scale 1283, Ian Ring Music Theory
Scale 1289Scale 1289, Ian Ring Music Theory
Scale 1293Scale 1293, Ian Ring Music Theory
Scale 1301Scale 1301: Koditonic, Ian Ring Music TheoryKoditonic
Scale 1317Scale 1317: Chaio, Ian Ring Music TheoryChaio
Scale 1349Scale 1349: Tholitonic, Ian Ring Music TheoryTholitonic
Scale 1413Scale 1413, Ian Ring Music Theory
Scale 1029Scale 1029, Ian Ring Music Theory
Scale 1157Scale 1157, Ian Ring Music Theory
Scale 1541Scale 1541, Ian Ring Music Theory
Scale 1797Scale 1797, Ian Ring Music Theory
Scale 261Scale 261, Ian Ring Music Theory
Scale 773Scale 773, Ian Ring Music Theory
Scale 2309Scale 2309, Ian Ring Music Theory
Scale 3333Scale 3333, 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.