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Scale 1347

Scale 1347, 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.

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{0,1,6,8,10}
Forte Number5-24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2133
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 171
Deep Scaleno
Interval Vector131221
Interval Spectrump2m2ns3dt
Distribution Spectra<1> = {1,2,5}
<2> = {3,4,6,7}
<3> = {5,6,8,9}
<4> = {7,10,11}
Spectra Variation3.2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1347 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2721
Scale 2721: Raga Puruhutika, Ian Ring Music TheoryRaga Puruhutika
3rd mode:
Scale 213
Scale 213, Ian Ring Music Theory
4th mode:
Scale 1077
Scale 1077, Ian Ring Music Theory
5th mode:
Scale 1293
Scale 1293, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 171

Scale 171Scale 171, Ian Ring Music Theory

Complement

The pentatonic modal family [1347, 2721, 213, 1077, 1293] (Forte: 5-24) is the complement of the heptatonic modal family [687, 1401, 1509, 1941, 2391, 3243, 3669] (Forte: 7-24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1347 is 2133

Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1347 is chiral, and its enantiomorph is scale 2133

Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki

Transformations:

T0 1347  T0I 2133
T1 2694  T1I 171
T2 1293  T2I 342
T3 2586  T3I 684
T4 1077  T4I 1368
T5 2154  T5I 2736
T6 213  T6I 1377
T7 426  T7I 2754
T8 852  T8I 1413
T9 1704  T9I 2826
T10 3408  T10I 1557
T11 2721  T11I 3114

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 1345Scale 1345, Ian Ring Music Theory
Scale 1349Scale 1349: Tholitonic, Ian Ring Music TheoryTholitonic
Scale 1351Scale 1351: Aeraptimic, Ian Ring Music TheoryAeraptimic
Scale 1355Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
Scale 1363Scale 1363: Gygimic, Ian Ring Music TheoryGygimic
Scale 1379Scale 1379: Kycrimic, Ian Ring Music TheoryKycrimic
Scale 1283Scale 1283, Ian Ring Music Theory
Scale 1315Scale 1315: Pyritonic, Ian Ring Music TheoryPyritonic
Scale 1411Scale 1411, Ian Ring Music Theory
Scale 1475Scale 1475, Ian Ring Music Theory
Scale 1091Scale 1091, Ian Ring Music Theory
Scale 1219Scale 1219, Ian Ring Music Theory
Scale 1603Scale 1603, Ian Ring Music Theory
Scale 1859Scale 1859, Ian Ring Music Theory
Scale 323Scale 323, Ian Ring Music Theory
Scale 835Scale 835, Ian Ring Music Theory
Scale 2371Scale 2371, Ian Ring Music Theory
Scale 3395Scale 3395, 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. Bibliography