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Scale 2381: "Takemitsu Linea Mode 1"

Scale 2381: Takemitsu Linea Mode 1, 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

Named After Composers
Takemitsu Linea Mode 1
Takemitsu Tree Line Mode 1
Zeitler
Sorimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,6,8,11}
Forte Number6-Z49
Rotational Symmetrynone
Reflection Axes1
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 667
Deep Scaleno
Interval Vector224322
Interval Spectrump2m3n4s2d2t2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {4,6,8}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[2]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2381 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1619
Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
3rd mode:
Scale 2857
Scale 2857: Stythimic, Ian Ring Music TheoryStythimic
4th mode:
Scale 869
Scale 869: Kothimic, Ian Ring Music TheoryKothimic
5th mode:
Scale 1241
Scale 1241: Pygimic, Ian Ring Music TheoryPygimic
6th mode:
Scale 667
Scale 667: Rodimic, Ian Ring Music TheoryRodimicThis is the prime mode

Prime

The prime form of this scale is Scale 667

Scale 667Scale 667: Rodimic, Ian Ring Music TheoryRodimic

Complement

The hexatonic modal family [2381, 1619, 2857, 869, 1241, 667] (Forte: 6-Z49) is the complement of the hexatonic modal family [619, 857, 1427, 1613, 2357, 2761] (Forte: 6-Z28)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2381 is 1619

Scale 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan

Transformations:

T0 2381  T0I 1619
T1 667  T1I 3238
T2 1334  T2I 2381
T3 2668  T3I 667
T4 1241  T4I 1334
T5 2482  T5I 2668
T6 869  T6I 1241
T7 1738  T7I 2482
T8 3476  T8I 869
T9 2857  T9I 1738
T10 1619  T10I 3476
T11 3238  T11I 2857

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 2383Scale 2383: Katorian, Ian Ring Music TheoryKatorian
Scale 2377Scale 2377: Thoditonic, Ian Ring Music TheoryThoditonic
Scale 2379Scale 2379: Raga Gurjari Todi, Ian Ring Music TheoryRaga Gurjari Todi
Scale 2373Scale 2373: Dyptitonic, Ian Ring Music TheoryDyptitonic
Scale 2389Scale 2389: Eskimo Hexatonic 2, Ian Ring Music TheoryEskimo Hexatonic 2
Scale 2397Scale 2397: Stagian, Ian Ring Music TheoryStagian
Scale 2413Scale 2413: Locrian Natural 2, Ian Ring Music TheoryLocrian Natural 2
Scale 2317Scale 2317, Ian Ring Music Theory
Scale 2349Scale 2349: Raga Ghantana, Ian Ring Music TheoryRaga Ghantana
Scale 2445Scale 2445: Zadimic, Ian Ring Music TheoryZadimic
Scale 2509Scale 2509: Double Harmonic Minor, Ian Ring Music TheoryDouble Harmonic Minor
Scale 2125Scale 2125, Ian Ring Music Theory
Scale 2253Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya
Scale 2637Scale 2637: Raga Ranjani, Ian Ring Music TheoryRaga Ranjani
Scale 2893Scale 2893: Lylian, Ian Ring Music TheoryLylian
Scale 3405Scale 3405: Stynian, Ian Ring Music TheoryStynian
Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic
Scale 1357Scale 1357: Takemitsu Linea Mode 2, Ian Ring Music TheoryTakemitsu Linea Mode 2

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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.