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Scale 1081

Scale 1081, 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

Cardinality5 (pentatonic)
Pitch Class Set{0,3,4,5,10}
Forte Number5-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 901
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes4
Prime?no
prime: 167
Deep Scaleno
Interval Vector221131
Interval Spectrump3mns2d2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {2,4,5,6,7}
<3> = {5,6,7,8,10}
<4> = {7,9,10,11}
Spectra Variation3.6
Maximally Evenno
Maximal Area Setno
Interior Area1.683
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 1081 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 647
Scale 647, Ian Ring Music Theory
3rd mode:
Scale 2371
Scale 2371, Ian Ring Music Theory
4th mode:
Scale 3233
Scale 3233, Ian Ring Music Theory
5th mode:
Scale 229
Scale 229, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 167

Scale 167Scale 167, Ian Ring Music Theory

Complement

The pentatonic modal family [1081, 647, 2371, 3233, 229] (Forte: 5-14) is the complement of the heptatonic modal family [431, 1507, 1933, 2263, 2801, 3179, 3637] (Forte: 7-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1081 is 901

Scale 901Scale 901, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1081 is chiral, and its enantiomorph is scale 901

Scale 901Scale 901, Ian Ring Music Theory

Transformations:

T0 1081  T0I 901
T1 2162  T1I 1802
T2 229  T2I 3604
T3 458  T3I 3113
T4 916  T4I 2131
T5 1832  T5I 167
T6 3664  T6I 334
T7 3233  T7I 668
T8 2371  T8I 1336
T9 647  T9I 2672
T10 1294  T10I 1249
T11 2588  T11I 2498

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 1083Scale 1083, Ian Ring Music Theory
Scale 1085Scale 1085, Ian Ring Music Theory
Scale 1073Scale 1073, Ian Ring Music Theory
Scale 1077Scale 1077, Ian Ring Music Theory
Scale 1065Scale 1065, Ian Ring Music Theory
Scale 1049Scale 1049, Ian Ring Music Theory
Scale 1113Scale 1113: Locrian Pentatonic 2, Ian Ring Music TheoryLocrian Pentatonic 2
Scale 1145Scale 1145: Zygimic, Ian Ring Music TheoryZygimic
Scale 1209Scale 1209: Raga Bhanumanjari, Ian Ring Music TheoryRaga Bhanumanjari
Scale 1337Scale 1337: Epogimic, Ian Ring Music TheoryEpogimic
Scale 1593Scale 1593: Zogimic, Ian Ring Music TheoryZogimic
Scale 57Scale 57, Ian Ring Music Theory
Scale 569Scale 569: Mothitonic, Ian Ring Music TheoryMothitonic
Scale 2105Scale 2105, Ian Ring Music Theory
Scale 3129Scale 3129, 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.