The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2089

Scale 2089, 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{0,3,5,11}
Forte Number4-Z15
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 643
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 83
Deep Scaleno
Interval Vector111111
Interval Spectrumpmnsdt
Distribution Spectra<1> = {1,2,3,6}
<2> = {4,5,7,8}
<3> = {6,9,10,11}
Spectra Variation3.5
Maximally Evenno
Maximal Area Setno
Interior Area1.183
Myhill Propertyno
Balancedno
Ridge Tonesnone
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 2089 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 773
Scale 773, Ian Ring Music Theory
3rd mode:
Scale 1217
Scale 1217, Ian Ring Music Theory
4th mode:
Scale 83
Scale 83, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 83

Scale 83Scale 83, Ian Ring Music Theory

Complement

The tetratonic modal family [2089, 773, 1217, 83] (Forte: 4-Z15) is the complement of the octatonic modal family [863, 1523, 1997, 2479, 2809, 3287, 3691, 3893] (Forte: 8-Z15)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2089 is 643

Scale 643Scale 643, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2089 is chiral, and its enantiomorph is scale 643

Scale 643Scale 643, Ian Ring Music Theory

Transformations:

T0 2089  T0I 643
T1 83  T1I 1286
T2 166  T2I 2572
T3 332  T3I 1049
T4 664  T4I 2098
T5 1328  T5I 101
T6 2656  T6I 202
T7 1217  T7I 404
T8 2434  T8I 808
T9 773  T9I 1616
T10 1546  T10I 3232
T11 3092  T11I 2369

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 2091Scale 2091, Ian Ring Music Theory
Scale 2093Scale 2093, Ian Ring Music Theory
Scale 2081Scale 2081, Ian Ring Music Theory
Scale 2085Scale 2085, Ian Ring Music Theory
Scale 2097Scale 2097, Ian Ring Music Theory
Scale 2105Scale 2105, Ian Ring Music Theory
Scale 2057Scale 2057, Ian Ring Music Theory
Scale 2073Scale 2073, Ian Ring Music Theory
Scale 2121Scale 2121, Ian Ring Music Theory
Scale 2153Scale 2153, Ian Ring Music Theory
Scale 2217Scale 2217: Kagitonic, Ian Ring Music TheoryKagitonic
Scale 2345Scale 2345: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 2601Scale 2601: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 3113Scale 3113, Ian Ring Music Theory
Scale 41Scale 41: Vietnamese Tritonic, Ian Ring Music TheoryVietnamese Tritonic
Scale 1065Scale 1065, 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.