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Scale 1249

Scale 1249, 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).

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,5,6,7,10}
Forte Number5-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 229
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes4
Prime?no
prime: 167
Deep Scaleno
Interval Vector221131
Interval Spectrump3mns2d2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {2,4,5,6,7}
<3> = {5,6,7,8,10}
<4> = {7,9,10,11}
Spectra Variation3.6
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1249 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 167
Scale 167, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2131
Scale 2131, Ian Ring Music Theory
4th mode:
Scale 3113
Scale 3113, Ian Ring Music Theory
5th mode:
Scale 901
Scale 901, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 167

Scale 167Scale 167, Ian Ring Music Theory

Complement

The pentatonic modal family [1249, 167, 2131, 3113, 901] (Forte: 5-14) is the complement of the heptatonic modal family [431, 1507, 1933, 2263, 2801, 3179, 3637] (Forte: 7-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1249 is 229

Scale 229Scale 229, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1249 is chiral, and its enantiomorph is scale 229

Scale 229Scale 229, Ian Ring Music Theory

Transformations:

T0 1249  T0I 229
T1 2498  T1I 458
T2 901  T2I 916
T3 1802  T3I 1832
T4 3604  T4I 3664
T5 3113  T5I 3233
T6 2131  T6I 2371
T7 167  T7I 647
T8 334  T8I 1294
T9 668  T9I 2588
T10 1336  T10I 1081
T11 2672  T11I 2162

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 1251Scale 1251: Sylimic, Ian Ring Music TheorySylimic
Scale 1253Scale 1253: Zolimic, Ian Ring Music TheoryZolimic
Scale 1257Scale 1257: Blues Scale, Ian Ring Music TheoryBlues Scale
Scale 1265Scale 1265: Pynimic, Ian Ring Music TheoryPynimic
Scale 1217Scale 1217, Ian Ring Music Theory
Scale 1233Scale 1233: Ionoditonic, Ian Ring Music TheoryIonoditonic
Scale 1185Scale 1185: Genus Primum Inverse, Ian Ring Music TheoryGenus Primum Inverse
Scale 1121Scale 1121, Ian Ring Music Theory
Scale 1377Scale 1377, Ian Ring Music Theory
Scale 1505Scale 1505, Ian Ring Music Theory
Scale 1761Scale 1761, Ian Ring Music Theory
Scale 225Scale 225, Ian Ring Music Theory
Scale 737Scale 737, Ian Ring Music Theory
Scale 2273Scale 2273, Ian Ring Music Theory
Scale 3297Scale 3297, Ian Ring Music Theory

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.