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Scale 2885: "Byrimic"

Scale 2885: Byrimic, 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).

Common Names

Zeitler
Byrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,6,8,9,11}
Forte Number6-Z23
Rotational Symmetrynone
Reflection Axes4
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 365
Deep Scaleno
Interval Vector234222
Interval Spectrump2m2n4s3d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {3,6}
<3> = {4,5,7,8}
<4> = {6,9}
<5> = {8,10,11}
Spectra Variation2.667
Maximally Evenno
Maximal Area Setno
Interior Area2.232
Myhill Propertyno
Balancedno
Ridge Tones[8]
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
Major TriadsD{2,6,9}221
Minor Triadsbm{11,2,6}221
Diminished Triadsf♯°{6,9,0}131.5
g♯°{8,11,2}131.5
Parsimonious Voice Leading Between Common Triads of Scale 2885. Created by Ian Ring ©2019 D D f#° f#° D->f#° bm bm D->bm g#° g#° g#°->bm

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter3
Radius2
Self-Centeredno
Central VerticesD, bm
Peripheral Verticesf♯°, g♯°

Modes

Modes are the rotational transformation of this scale. Scale 2885 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1745
Scale 1745: Raga Vutari, Ian Ring Music TheoryRaga Vutari
3rd mode:
Scale 365
Scale 365: Marimic, Ian Ring Music TheoryMarimicThis is the prime mode
4th mode:
Scale 1115
Scale 1115: Superlocrian Hexamirror, Ian Ring Music TheorySuperlocrian Hexamirror
5th mode:
Scale 2605
Scale 2605: Rylimic, Ian Ring Music TheoryRylimic
6th mode:
Scale 1675
Scale 1675: Raga Salagavarali, Ian Ring Music TheoryRaga Salagavarali

Prime

The prime form of this scale is Scale 365

Scale 365Scale 365: Marimic, Ian Ring Music TheoryMarimic

Complement

The hexatonic modal family [2885, 1745, 365, 1115, 2605, 1675] (Forte: 6-Z23) is the complement of the hexatonic modal family [605, 745, 1175, 1865, 2635, 3365] (Forte: 6-Z45)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2885 is 1115

Scale 1115Scale 1115: Superlocrian Hexamirror, Ian Ring Music TheorySuperlocrian Hexamirror

Transformations:

T0 2885  T0I 1115
T1 1675  T1I 2230
T2 3350  T2I 365
T3 2605  T3I 730
T4 1115  T4I 1460
T5 2230  T5I 2920
T6 365  T6I 1745
T7 730  T7I 3490
T8 1460  T8I 2885
T9 2920  T9I 1675
T10 1745  T10I 3350
T11 3490  T11I 2605

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 2887Scale 2887: Gaptian, Ian Ring Music TheoryGaptian
Scale 2881Scale 2881, Ian Ring Music Theory
Scale 2883Scale 2883, Ian Ring Music Theory
Scale 2889Scale 2889: Thoptimic, Ian Ring Music TheoryThoptimic
Scale 2893Scale 2893: Lylian, Ian Ring Music TheoryLylian
Scale 2901Scale 2901: Lydian Augmented, Ian Ring Music TheoryLydian Augmented
Scale 2917Scale 2917: Nohkan Flute Scale, Ian Ring Music TheoryNohkan Flute Scale
Scale 2821Scale 2821, Ian Ring Music Theory
Scale 2853Scale 2853: Baptimic, Ian Ring Music TheoryBaptimic
Scale 2949Scale 2949, Ian Ring Music Theory
Scale 3013Scale 3013: Thynian, Ian Ring Music TheoryThynian
Scale 2629Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
Scale 2757Scale 2757: Raga Nishadi, Ian Ring Music TheoryRaga Nishadi
Scale 2373Scale 2373: Dyptitonic, Ian Ring Music TheoryDyptitonic
Scale 3397Scale 3397: Sydimic, Ian Ring Music TheorySydimic
Scale 3909Scale 3909: Rydian, Ian Ring Music TheoryRydian
Scale 837Scale 837: Epaditonic, Ian Ring Music TheoryEpaditonic
Scale 1861Scale 1861: Phrygimic, Ian Ring Music TheoryPhrygimic

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.