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Scale 1889

Scale 1889, 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

Cardinality6 (hexatonic)
Pitch Class Set{0,5,6,8,9,10}
Forte Number6-Z10
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 221
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 187
Deep Scaleno
Interval Vector333321
Interval Spectrump2m3n3s3d3t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {4,8}
<4> = {5,6,9,10}
<5> = {7,10,11}
Spectra Variation3.667
Maximally Evenno
Maximal Area Setno
Interior Area1.866
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
Major TriadsF{5,9,0}210.67
Minor Triadsfm{5,8,0}121
Diminished Triadsf♯°{6,9,0}121
Parsimonious Voice Leading Between Common Triads of Scale 1889. Created by Ian Ring ©2019 fm fm F F fm->F f#° f#° F->f#°

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.

Diameter2
Radius1
Self-Centeredno
Central VerticesF
Peripheral Verticesfm, f♯°

Modes

Modes are the rotational transformation of this scale. Scale 1889 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 187
Scale 187, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2141
Scale 2141, Ian Ring Music Theory
4th mode:
Scale 1559
Scale 1559, Ian Ring Music Theory
5th mode:
Scale 2827
Scale 2827, Ian Ring Music Theory
6th mode:
Scale 3461
Scale 3461, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 187

Scale 187Scale 187, Ian Ring Music Theory

Complement

The hexatonic modal family [1889, 187, 2141, 1559, 2827, 3461] (Forte: 6-Z10) is the complement of the hexatonic modal family [317, 977, 1103, 2599, 3347, 3721] (Forte: 6-Z39)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1889 is 221

Scale 221Scale 221, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1889 is chiral, and its enantiomorph is scale 221

Scale 221Scale 221, Ian Ring Music Theory

Transformations:

T0 1889  T0I 221
T1 3778  T1I 442
T2 3461  T2I 884
T3 2827  T3I 1768
T4 1559  T4I 3536
T5 3118  T5I 2977
T6 2141  T6I 1859
T7 187  T7I 3718
T8 374  T8I 3341
T9 748  T9I 2587
T10 1496  T10I 1079
T11 2992  T11I 2158

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 1891Scale 1891: Thalian, Ian Ring Music TheoryThalian
Scale 1893Scale 1893: Ionylian, Ian Ring Music TheoryIonylian
Scale 1897Scale 1897: Ionopian, Ian Ring Music TheoryIonopian
Scale 1905Scale 1905: Katacrian, Ian Ring Music TheoryKatacrian
Scale 1857Scale 1857, Ian Ring Music Theory
Scale 1873Scale 1873: Dathimic, Ian Ring Music TheoryDathimic
Scale 1825Scale 1825, Ian Ring Music Theory
Scale 1953Scale 1953, Ian Ring Music Theory
Scale 2017Scale 2017, Ian Ring Music Theory
Scale 1633Scale 1633, Ian Ring Music Theory
Scale 1761Scale 1761, Ian Ring Music Theory
Scale 1377Scale 1377, Ian Ring Music Theory
Scale 865Scale 865, Ian Ring Music Theory
Scale 2913Scale 2913, Ian Ring Music Theory
Scale 3937Scale 3937, 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.