The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 407: "Zylimic"

Scale 407: Zylimic, 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
Zylimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,4,7,8}
Forte Number6-Z17
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3377
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?yes
Deep Scaleno
Interval Vector322332
Interval Spectrump3m3n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5}
<3> = {4,6,8}
<4> = {7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.667
Maximally Evenno
Maximal Area Setno
Interior Area2.116
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 407 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2251
Scale 2251: Zodimic, Ian Ring Music TheoryZodimic
3rd mode:
Scale 3173
Scale 3173: Zarimic, Ian Ring Music TheoryZarimic
4th mode:
Scale 1817
Scale 1817: Phrythimic, Ian Ring Music TheoryPhrythimic
5th mode:
Scale 739
Scale 739: Rorimic, Ian Ring Music TheoryRorimic
6th mode:
Scale 2417
Scale 2417: Kanimic, Ian Ring Music TheoryKanimic

Prime

This is the prime form of this scale.

Complement

The hexatonic modal family [407, 2251, 3173, 1817, 739, 2417] (Forte: 6-Z17) is the complement of the hexatonic modal family [359, 907, 1649, 2227, 2501, 3161] (Forte: 6-Z43)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 407 is 3377

Scale 3377Scale 3377: Phralimic, Ian Ring Music TheoryPhralimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 407 is chiral, and its enantiomorph is scale 3377

Scale 3377Scale 3377: Phralimic, Ian Ring Music TheoryPhralimic

Transformations:

T0 407  T0I 3377
T1 814  T1I 2659
T2 1628  T2I 1223
T3 3256  T3I 2446
T4 2417  T4I 797
T5 739  T5I 1594
T6 1478  T6I 3188
T7 2956  T7I 2281
T8 1817  T8I 467
T9 3634  T9I 934
T10 3173  T10I 1868
T11 2251  T11I 3736

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 405Scale 405: Raga Bhupeshwari, Ian Ring Music TheoryRaga Bhupeshwari
Scale 403Scale 403: Raga Reva, Ian Ring Music TheoryRaga Reva
Scale 411Scale 411: Lygimic, Ian Ring Music TheoryLygimic
Scale 415Scale 415: Aeoladian, Ian Ring Music TheoryAeoladian
Scale 391Scale 391, Ian Ring Music Theory
Scale 399Scale 399: Zynimic, Ian Ring Music TheoryZynimic
Scale 423Scale 423: Sogimic, Ian Ring Music TheorySogimic
Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian
Scale 471Scale 471: Dodian, Ian Ring Music TheoryDodian
Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic
Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic
Scale 151Scale 151, Ian Ring Music Theory
Scale 663Scale 663: Phrynimic, Ian Ring Music TheoryPhrynimic
Scale 919Scale 919: Chromatic Phrygian Inverse, Ian Ring Music TheoryChromatic Phrygian Inverse
Scale 1431Scale 1431: Phragian, Ian Ring Music TheoryPhragian
Scale 2455Scale 2455: Bothian, Ian Ring Music TheoryBothian

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.