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Scale 2617: "Pylimic"

Scale 2617: Pylimic, 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
Pylimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,5,9,11}
Forte Number6-Z43
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 907
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 359
Deep Scaleno
Interval Vector322332
Interval Spectrump3m3n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {5,6,7}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2617 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 839
Scale 839: Ionathimic, Ian Ring Music TheoryIonathimic
3rd mode:
Scale 2467
Scale 2467: Raga Padi, Ian Ring Music TheoryRaga Padi
4th mode:
Scale 3281
Scale 3281: Raga Vijayavasanta, Ian Ring Music TheoryRaga Vijayavasanta
5th mode:
Scale 461
Scale 461: Raga Syamalam, Ian Ring Music TheoryRaga Syamalam
6th mode:
Scale 1139
Scale 1139: Aerygimic, Ian Ring Music TheoryAerygimic

Prime

The prime form of this scale is Scale 359

Scale 359Scale 359: Bothimic, Ian Ring Music TheoryBothimic

Complement

The hexatonic modal family [2617, 839, 2467, 3281, 461, 1139] (Forte: 6-Z43) is the complement of the hexatonic modal family [407, 739, 1817, 2251, 2417, 3173] (Forte: 6-Z17)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2617 is 907

Scale 907Scale 907: Tholimic, Ian Ring Music TheoryTholimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2617 is chiral, and its enantiomorph is scale 907

Scale 907Scale 907: Tholimic, Ian Ring Music TheoryTholimic

Transformations:

T0 2617  T0I 907
T1 1139  T1I 1814
T2 2278  T2I 3628
T3 461  T3I 3161
T4 922  T4I 2227
T5 1844  T5I 359
T6 3688  T6I 718
T7 3281  T7I 1436
T8 2467  T8I 2872
T9 839  T9I 1649
T10 1678  T10I 3298
T11 3356  T11I 2501

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 2619Scale 2619: Ionyrian, Ian Ring Music TheoryIonyrian
Scale 2621Scale 2621: Ionogian, Ian Ring Music TheoryIonogian
Scale 2609Scale 2609: Raga Bhinna Shadja, Ian Ring Music TheoryRaga Bhinna Shadja
Scale 2613Scale 2613: Raga Hamsa Vinodini, Ian Ring Music TheoryRaga Hamsa Vinodini
Scale 2601Scale 2601: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 2585Scale 2585, Ian Ring Music Theory
Scale 2649Scale 2649: Aeolythimic, Ian Ring Music TheoryAeolythimic
Scale 2681Scale 2681: Aerycrian, Ian Ring Music TheoryAerycrian
Scale 2745Scale 2745: Mela Sulini, Ian Ring Music TheoryMela Sulini
Scale 2873Scale 2873: Ionian Augmented Sharp 2, Ian Ring Music TheoryIonian Augmented Sharp 2
Scale 2105Scale 2105, Ian Ring Music Theory
Scale 2361Scale 2361: Docrimic, Ian Ring Music TheoryDocrimic
Scale 3129Scale 3129, Ian Ring Music Theory
Scale 3641Scale 3641: Thocrian, Ian Ring Music TheoryThocrian
Scale 569Scale 569: Mothitonic, Ian Ring Music TheoryMothitonic
Scale 1593Scale 1593: Zogimic, Ian Ring Music TheoryZogimic

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.