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Scale 2589

Scale 2589, Ian Ring Music Theory

Bracelet Diagram

Tonnetz Diagram

41161837294116105072918310504116183

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,4,9,11}
Forte Number6-Z11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1803
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 183
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {4,5,7,8}
<4> = {5,6,9,10}
<5> = {7,10,11}
Spectra Variation3.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2589 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1671
Scale 1671, Ian Ring Music Theory
3rd mode:
Scale 2883
Scale 2883, Ian Ring Music Theory
4th mode:
Scale 3489
Scale 3489, Ian Ring Music Theory
5th mode:
Scale 237
Scale 237, Ian Ring Music Theory
6th mode:
Scale 1083
Scale 1083, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 183

Scale 183Scale 183, Ian Ring Music Theory

Complement

The hexatonic modal family [2589, 1671, 2883, 3489, 237, 1083] (Forte: 6-Z11) is the complement of the hexatonic modal family [303, 753, 1929, 2199, 3147, 3621] (Forte: 6-Z40)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2589 is 1803

Scale 1803Scale 1803, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2589 is chiral, and its enantiomorph is scale 1803

Scale 1803Scale 1803, Ian Ring Music Theory

Transformations:

T0 2589  T0I 1803
T1 1083  T1I 3606
T2 2166  T2I 3117
T3 237  T3I 2139
T4 474  T4I 183
T5 948  T5I 366
T6 1896  T6I 732
T7 3792  T7I 1464
T8 3489  T8I 2928
T9 2883  T9I 1761
T10 1671  T10I 3522
T11 3342  T11I 2949

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 2591Scale 2591, Ian Ring Music Theory
Scale 2585Scale 2585, Ian Ring Music Theory
Scale 2587Scale 2587, Ian Ring Music Theory
Scale 2581Scale 2581: Raga Neroshta, Ian Ring Music TheoryRaga Neroshta
Scale 2573Scale 2573, Ian Ring Music Theory
Scale 2605Scale 2605: Rylimic, Ian Ring Music TheoryRylimic
Scale 2621Scale 2621: Ionogian, Ian Ring Music TheoryIonogian
Scale 2653Scale 2653: Sygian, Ian Ring Music TheorySygian
Scale 2717Scale 2717: Epygian, Ian Ring Music TheoryEpygian
Scale 2845Scale 2845: Baptian, Ian Ring Music TheoryBaptian
Scale 2077Scale 2077, Ian Ring Music Theory
Scale 2333Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
Scale 3101Scale 3101, Ian Ring Music Theory
Scale 3613Scale 3613, Ian Ring Music Theory
Scale 541Scale 541, Ian Ring Music Theory
Scale 1565Scale 1565, 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