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Scale 249

Scale 249, 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

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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).

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,5,6,7}
Forte Number6-Z36
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 993
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes5
Prime?no
prime: 159
Deep Scaleno
Interval Vector433221
Interval Spectrump2m2n3s3d4t
Distribution Spectra<1> = {1,3,5}
<2> = {2,4,6,8}
<3> = {3,5,7,9}
<4> = {4,6,8,10}
<5> = {7,9,11}
Spectra Variation4.333
Maximally Evenno
Maximal Area Setno
Interior Area1.75
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 249 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 543
Scale 543, Ian Ring Music Theory
3rd mode:
Scale 2319
Scale 2319, Ian Ring Music Theory
4th mode:
Scale 3207
Scale 3207, Ian Ring Music Theory
5th mode:
Scale 3651
Scale 3651, Ian Ring Music Theory
6th mode:
Scale 3873
Scale 3873, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 159

Scale 159Scale 159, Ian Ring Music Theory

Complement

The hexatonic modal family [249, 543, 2319, 3207, 3651, 3873] (Forte: 6-Z36) is the complement of the hexatonic modal family [111, 1923, 2103, 3009, 3099, 3597] (Forte: 6-Z3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 249 is 993

Scale 993Scale 993, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 249 is chiral, and its enantiomorph is scale 993

Scale 993Scale 993, Ian Ring Music Theory

Transformations:

T0 249  T0I 993
T1 498  T1I 1986
T2 996  T2I 3972
T3 1992  T3I 3849
T4 3984  T4I 3603
T5 3873  T5I 3111
T6 3651  T6I 2127
T7 3207  T7I 159
T8 2319  T8I 318
T9 543  T9I 636
T10 1086  T10I 1272
T11 2172  T11I 2544

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 251Scale 251, Ian Ring Music Theory
Scale 253Scale 253, Ian Ring Music Theory
Scale 241Scale 241, Ian Ring Music Theory
Scale 245Scale 245: Raga Dipak, Ian Ring Music TheoryRaga Dipak
Scale 233Scale 233, Ian Ring Music Theory
Scale 217Scale 217, Ian Ring Music Theory
Scale 185Scale 185, Ian Ring Music Theory
Scale 121Scale 121, Ian Ring Music Theory
Scale 377Scale 377: Kathimic, Ian Ring Music TheoryKathimic
Scale 505Scale 505: Sanian, Ian Ring Music TheorySanian
Scale 761Scale 761: Ponian, Ian Ring Music TheoryPonian
Scale 1273Scale 1273: Ronian, Ian Ring Music TheoryRonian
Scale 2297Scale 2297: Thylian, Ian Ring Music TheoryThylian

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.