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Scale 2849

Scale 2849, 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

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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{0,5,8,9,11}
Forte Number5-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 155
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 155
Deep Scaleno
Interval Vector213211
Interval Spectrumpm2n3sd2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {3,4,6,8}
<3> = {4,6,8,9}
<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 2849 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 217
Scale 217, Ian Ring Music Theory
3rd mode:
Scale 539
Scale 539, Ian Ring Music Theory
4th mode:
Scale 2317
Scale 2317, Ian Ring Music Theory
5th mode:
Scale 1603
Scale 1603, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 155

Scale 155Scale 155, Ian Ring Music Theory

Complement

The pentatonic modal family [2849, 217, 539, 2317, 1603] (Forte: 5-16) is the complement of the heptatonic modal family [623, 889, 1939, 2359, 3017, 3227, 3661] (Forte: 7-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2849 is 155

Scale 155Scale 155, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2849 is chiral, and its enantiomorph is scale 155

Scale 155Scale 155, Ian Ring Music Theory

Transformations:

T0 2849  T0I 155
T1 1603  T1I 310
T2 3206  T2I 620
T3 2317  T3I 1240
T4 539  T4I 2480
T5 1078  T5I 865
T6 2156  T6I 1730
T7 217  T7I 3460
T8 434  T8I 2825
T9 868  T9I 1555
T10 1736  T10I 3110
T11 3472  T11I 2125

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 2851Scale 2851: Katoptimic, Ian Ring Music TheoryKatoptimic
Scale 2853Scale 2853: Baptimic, Ian Ring Music TheoryBaptimic
Scale 2857Scale 2857: Stythimic, Ian Ring Music TheoryStythimic
Scale 2865Scale 2865: Solimic, Ian Ring Music TheorySolimic
Scale 2817Scale 2817, Ian Ring Music Theory
Scale 2833Scale 2833: Dolitonic, Ian Ring Music TheoryDolitonic
Scale 2881Scale 2881, Ian Ring Music Theory
Scale 2913Scale 2913, Ian Ring Music Theory
Scale 2977Scale 2977, Ian Ring Music Theory
Scale 2593Scale 2593, Ian Ring Music Theory
Scale 2721Scale 2721: Raga Puruhutika, Ian Ring Music TheoryRaga Puruhutika
Scale 2337Scale 2337, Ian Ring Music Theory
Scale 3361Scale 3361, Ian Ring Music Theory
Scale 3873Scale 3873, Ian Ring Music Theory
Scale 801Scale 801, Ian Ring Music Theory
Scale 1825Scale 1825, 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.