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Scale 3619: "Thanimic"

Scale 3619: Thanimic, 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
Thanimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,5,9,10,11}
Forte Number6-Z37
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes5
Prime?no
prime: 287
Deep Scaleno
Interval Vector432321
Interval Spectrump2m3n2s3d4t
Distribution Spectra<1> = {1,4}
<2> = {2,5,8}
<3> = {3,6,9}
<4> = {4,7,10}
<5> = {8,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.866
Myhill Propertyno
Balancedno
Ridge Tones[10]
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}121
Minor Triadsa♯m{10,1,5}121
Augmented TriadsC♯+{1,5,9}210.67
Parsimonious Voice Leading Between Common Triads of Scale 3619. Created by Ian Ring ©2019 C#+ C#+ F F C#+->F a#m a#m C#+->a#m

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 VerticesC♯+
Peripheral VerticesF, a♯m

Modes

Modes are the rotational transformation of this scale. Scale 3619 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3857
Scale 3857: Ponimic, Ian Ring Music TheoryPonimic
3rd mode:
Scale 497
Scale 497: Kadimic, Ian Ring Music TheoryKadimic
4th mode:
Scale 287
Scale 287: Gynimic, Ian Ring Music TheoryGynimicThis is the prime mode
5th mode:
Scale 2191
Scale 2191: Thydimic, Ian Ring Music TheoryThydimic
6th mode:
Scale 3143
Scale 3143: Polimic, Ian Ring Music TheoryPolimic

Prime

The prime form of this scale is Scale 287

Scale 287Scale 287: Gynimic, Ian Ring Music TheoryGynimic

Complement

The hexatonic modal family [3619, 3857, 497, 287, 2191, 3143] (Forte: 6-Z37) is the complement of the hexatonic modal family [119, 1799, 2107, 2947, 3101, 3521] (Forte: 6-Z4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3619 is 2191

Scale 2191Scale 2191: Thydimic, Ian Ring Music TheoryThydimic

Transformations:

T0 3619  T0I 2191
T1 3143  T1I 287
T2 2191  T2I 574
T3 287  T3I 1148
T4 574  T4I 2296
T5 1148  T5I 497
T6 2296  T6I 994
T7 497  T7I 1988
T8 994  T8I 3976
T9 1988  T9I 3857
T10 3976  T10I 3619
T11 3857  T11I 3143

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 3617Scale 3617, Ian Ring Music Theory
Scale 3621Scale 3621: Gylimic, Ian Ring Music TheoryGylimic
Scale 3623Scale 3623: Aerocrian, Ian Ring Music TheoryAerocrian
Scale 3627Scale 3627: Kalian, Ian Ring Music TheoryKalian
Scale 3635Scale 3635: Katygian, Ian Ring Music TheoryKatygian
Scale 3587Scale 3587, Ian Ring Music Theory
Scale 3603Scale 3603, Ian Ring Music Theory
Scale 3651Scale 3651, Ian Ring Music Theory
Scale 3683Scale 3683: Dycrian, Ian Ring Music TheoryDycrian
Scale 3747Scale 3747: Myrian, Ian Ring Music TheoryMyrian
Scale 3875Scale 3875: Aeryptian, Ian Ring Music TheoryAeryptian
Scale 3107Scale 3107, Ian Ring Music Theory
Scale 3363Scale 3363: Rogimic, Ian Ring Music TheoryRogimic
Scale 2595Scale 2595: Rolitonic, Ian Ring Music TheoryRolitonic
Scale 1571Scale 1571: Lagitonic, Ian Ring Music TheoryLagitonic

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.