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Scale 2387: "Paptimic"

Scale 2387: Paptimic, 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
Paptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,4,6,8,11}
Forte Number6-Z48
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes5
Prime?no
prime: 679
Deep Scaleno
Interval Vector232341
Interval Spectrump4m3n2s3d2t
Distribution Spectra<1> = {1,2,3}
<2> = {2,4,5}
<3> = {5,6,7}
<4> = {7,8,10}
<5> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[0]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2387 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3241
Scale 3241: Dalimic, Ian Ring Music TheoryDalimic
3rd mode:
Scale 917
Scale 917: Dygimic, Ian Ring Music TheoryDygimic
4th mode:
Scale 1253
Scale 1253: Zolimic, Ian Ring Music TheoryZolimic
5th mode:
Scale 1337
Scale 1337: Epogimic, Ian Ring Music TheoryEpogimic
6th mode:
Scale 679
Scale 679: Lanimic, Ian Ring Music TheoryLanimicThis is the prime mode

Prime

The prime form of this scale is Scale 679

Scale 679Scale 679: Lanimic, Ian Ring Music TheoryLanimic

Complement

The hexatonic modal family [2387, 3241, 917, 1253, 1337, 679] (Forte: 6-Z48) is the complement of the hexatonic modal family [427, 1379, 1421, 1589, 2261, 2737] (Forte: 6-Z26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2387 is itself, because it is a palindromic scale!

Scale 2387Scale 2387: Paptimic, Ian Ring Music TheoryPaptimic

Transformations:

T0 2387  T0I 2387
T1 679  T1I 679
T2 1358  T2I 1358
T3 2716  T3I 2716
T4 1337  T4I 1337
T5 2674  T5I 2674
T6 1253  T6I 1253
T7 2506  T7I 2506
T8 917  T8I 917
T9 1834  T9I 1834
T10 3668  T10I 3668
T11 3241  T11I 3241

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 2385Scale 2385: Aeolanitonic, Ian Ring Music TheoryAeolanitonic
Scale 2389Scale 2389: Eskimo Hexatonic 2, Ian Ring Music TheoryEskimo Hexatonic 2
Scale 2391Scale 2391: Molian, Ian Ring Music TheoryMolian
Scale 2395Scale 2395: Zoptian, Ian Ring Music TheoryZoptian
Scale 2371Scale 2371, Ian Ring Music Theory
Scale 2379Scale 2379: Raga Gurjari Todi, Ian Ring Music TheoryRaga Gurjari Todi
Scale 2403Scale 2403: Lycrimic, Ian Ring Music TheoryLycrimic
Scale 2419Scale 2419: Raga Lalita, Ian Ring Music TheoryRaga Lalita
Scale 2323Scale 2323: Doptitonic, Ian Ring Music TheoryDoptitonic
Scale 2355Scale 2355: Raga Lalita, Ian Ring Music TheoryRaga Lalita
Scale 2451Scale 2451: Raga Bauli, Ian Ring Music TheoryRaga Bauli
Scale 2515Scale 2515: Chromatic Hypolydian, Ian Ring Music TheoryChromatic Hypolydian
Scale 2131Scale 2131, Ian Ring Music Theory
Scale 2259Scale 2259: Raga Mandari, Ian Ring Music TheoryRaga Mandari
Scale 2643Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi
Scale 2899Scale 2899: Kagian, Ian Ring Music TheoryKagian
Scale 3411Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic
Scale 339Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonic
Scale 1363Scale 1363: Gygimic, Ian Ring Music TheoryGygimic

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.