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Scale 2881

Scale 2881, 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{0,6,8,9,11}
Forte Number5-10
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 91
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 91
Deep Scaleno
Interval Vector223111
Interval Spectrumpmn3s2d2t
Distribution Spectra<1> = {1,2,6}
<2> = {3,7,8}
<3> = {4,5,9}
<4> = {6,10,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.366
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Diminished Triadsf♯°{6,9,0}000

Since there is only one common triad in this scale, there are no opportunities for parsimonious voice leading between triads.

Modes

Modes are the rotational transformation of this scale. Scale 2881 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 109
Scale 109, Ian Ring Music Theory
3rd mode:
Scale 1051
Scale 1051, Ian Ring Music Theory
4th mode:
Scale 2573
Scale 2573, Ian Ring Music Theory
5th mode:
Scale 1667
Scale 1667, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 91

Scale 91Scale 91, Ian Ring Music Theory

Complement

The pentatonic modal family [2881, 109, 1051, 2573, 1667] (Forte: 5-10) is the complement of the heptatonic modal family [607, 761, 1993, 2351, 3223, 3659, 3877] (Forte: 7-10)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2881 is 91

Scale 91Scale 91, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2881 is chiral, and its enantiomorph is scale 91

Scale 91Scale 91, Ian Ring Music Theory

Transformations:

T0 2881  T0I 91
T1 1667  T1I 182
T2 3334  T2I 364
T3 2573  T3I 728
T4 1051  T4I 1456
T5 2102  T5I 2912
T6 109  T6I 1729
T7 218  T7I 3458
T8 436  T8I 2821
T9 872  T9I 1547
T10 1744  T10I 3094
T11 3488  T11I 2093

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 2883Scale 2883, Ian Ring Music Theory
Scale 2885Scale 2885: Byrimic, Ian Ring Music TheoryByrimic
Scale 2889Scale 2889: Thoptimic, Ian Ring Music TheoryThoptimic
Scale 2897Scale 2897: Rycrimic, Ian Ring Music TheoryRycrimic
Scale 2913Scale 2913, Ian Ring Music Theory
Scale 2817Scale 2817, Ian Ring Music Theory
Scale 2849Scale 2849, Ian Ring Music Theory
Scale 2945Scale 2945, Ian Ring Music Theory
Scale 3009Scale 3009, Ian Ring Music Theory
Scale 2625Scale 2625, Ian Ring Music Theory
Scale 2753Scale 2753, Ian Ring Music Theory
Scale 2369Scale 2369, Ian Ring Music Theory
Scale 3393Scale 3393, Ian Ring Music Theory
Scale 3905Scale 3905, Ian Ring Music Theory
Scale 833Scale 833, Ian Ring Music Theory
Scale 1857Scale 1857, 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.