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Scale 3649

Scale 3649, Ian Ring Music Theory

Bracelet Diagram

Tonnetz Diagram

41161837294116105072918310504116183

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,6,9,10,11}
Forte Number5-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 79
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes4
Prime?no
prime: 79
Deep Scaleno
Interval Vector322111
Interval Spectrumpmn2s2d3t
Distribution Spectra<1> = {1,3,6}
<2> = {2,4,7,9}
<3> = {3,5,8,10}
<4> = {6,9,11}
Spectra Variation4.8
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3649 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 121
Scale 121, Ian Ring Music Theory
3rd mode:
Scale 527
Scale 527, Ian Ring Music Theory
4th mode:
Scale 2311
Scale 2311: Raga Kumarapriya, Ian Ring Music TheoryRaga Kumarapriya
5th mode:
Scale 3203
Scale 3203, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 79

Scale 79Scale 79, Ian Ring Music Theory

Complement

The pentatonic modal family [3649, 121, 527, 2311, 3203] (Forte: 5-4) is the complement of the heptatonic modal family [223, 1987, 2159, 3041, 3127, 3611, 3853] (Forte: 7-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3649 is 79

Scale 79Scale 79, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3649 is chiral, and its enantiomorph is scale 79

Scale 79Scale 79, Ian Ring Music Theory

Transformations:

T0 3649  T0I 79
T1 3203  T1I 158
T2 2311  T2I 316
T3 527  T3I 632
T4 1054  T4I 1264
T5 2108  T5I 2528
T6 121  T6I 961
T7 242  T7I 1922
T8 484  T8I 3844
T9 968  T9I 3593
T10 1936  T10I 3091
T11 3872  T11I 2087

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 3651Scale 3651, Ian Ring Music Theory
Scale 3653Scale 3653: Sathimic, Ian Ring Music TheorySathimic
Scale 3657Scale 3657: Epynimic, Ian Ring Music TheoryEpynimic
Scale 3665Scale 3665: Stalimic, Ian Ring Music TheoryStalimic
Scale 3681Scale 3681, Ian Ring Music Theory
Scale 3585Scale 3585, Ian Ring Music Theory
Scale 3617Scale 3617, Ian Ring Music Theory
Scale 3713Scale 3713, Ian Ring Music Theory
Scale 3777Scale 3777, Ian Ring Music Theory
Scale 3905Scale 3905, Ian Ring Music Theory
Scale 3137Scale 3137, Ian Ring Music Theory
Scale 3393Scale 3393, Ian Ring Music Theory
Scale 2625Scale 2625, Ian Ring Music Theory
Scale 1601Scale 1601, 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