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Scale 289

Scale 289, 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

Cardinality3 (tritonic)
Pitch Class Set{0,5,8}
Forte Number3-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 145
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes2
Prime?no
prime: 137
Deep Scaleno
Interval Vector001110
Interval Spectrumpmn
Distribution Spectra<1> = {3,4,5}
<2> = {7,8,9}
Spectra Variation1.333
Maximally Evenno
Maximal Area Setno
Interior Area1.183
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyStrictly Proper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 289 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 137
Scale 137: Ute Tritonic, Ian Ring Music TheoryUte TritonicThis is the prime mode
3rd mode:
Scale 529
Scale 529: Raga Bilwadala, Ian Ring Music TheoryRaga Bilwadala

Prime

The prime form of this scale is Scale 137

Scale 137Scale 137: Ute Tritonic, Ian Ring Music TheoryUte Tritonic

Complement

The tritonic modal family [289, 137, 529] (Forte: 3-11) is the complement of the nonatonic modal family [1775, 1915, 1975, 2935, 3005, 3035, 3515, 3565, 3805] (Forte: 9-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 289 is 145

Scale 145Scale 145: Raga Malasri, Ian Ring Music TheoryRaga Malasri

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 289 is chiral, and its enantiomorph is scale 145

Scale 145Scale 145: Raga Malasri, Ian Ring Music TheoryRaga Malasri

Transformations:

T0 289  T0I 145
T1 578  T1I 290
T2 1156  T2I 580
T3 2312  T3I 1160
T4 529  T4I 2320
T5 1058  T5I 545
T6 2116  T6I 1090
T7 137  T7I 2180
T8 274  T8I 265
T9 548  T9I 530
T10 1096  T10I 1060
T11 2192  T11I 2120

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 291Scale 291: Raga Lavangi, Ian Ring Music TheoryRaga Lavangi
Scale 293Scale 293: Raga Haripriya, Ian Ring Music TheoryRaga Haripriya
Scale 297Scale 297: Mynic, Ian Ring Music TheoryMynic
Scale 305Scale 305: Gonic, Ian Ring Music TheoryGonic
Scale 257Scale 257, Ian Ring Music Theory
Scale 273Scale 273: Augmented Triad, Ian Ring Music TheoryAugmented Triad
Scale 321Scale 321, Ian Ring Music Theory
Scale 353Scale 353, Ian Ring Music Theory
Scale 417Scale 417, Ian Ring Music Theory
Scale 33Scale 33: Honchoshi, Ian Ring Music TheoryHonchoshi
Scale 161Scale 161: Raga Sarvasri, Ian Ring Music TheoryRaga Sarvasri
Scale 545Scale 545, Ian Ring Music Theory
Scale 801Scale 801, Ian Ring Music Theory
Scale 1313Scale 1313, Ian Ring Music Theory
Scale 2337Scale 2337, 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.