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Scale 2825

Scale 2825, 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{0,3,8,9,11}
Forte Number5-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 539
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 2825 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 865
Scale 865, Ian Ring Music Theory
3rd mode:
Scale 155
Scale 155, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2125
Scale 2125, Ian Ring Music Theory
5th mode:
Scale 1555
Scale 1555, 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 [2825, 865, 155, 2125, 1555] (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 2825 is 539

Scale 539Scale 539, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2825 is chiral, and its enantiomorph is scale 539

Scale 539Scale 539, Ian Ring Music Theory

Transformations:

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

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 2827Scale 2827, Ian Ring Music Theory
Scale 2829Scale 2829, Ian Ring Music Theory
Scale 2817Scale 2817, Ian Ring Music Theory
Scale 2821Scale 2821, Ian Ring Music Theory
Scale 2833Scale 2833: Dolitonic, Ian Ring Music TheoryDolitonic
Scale 2841Scale 2841: Sothimic, Ian Ring Music TheorySothimic
Scale 2857Scale 2857: Stythimic, Ian Ring Music TheoryStythimic
Scale 2889Scale 2889: Thoptimic, Ian Ring Music TheoryThoptimic
Scale 2953Scale 2953: Ionylimic, Ian Ring Music TheoryIonylimic
Scale 2569Scale 2569, Ian Ring Music Theory
Scale 2697Scale 2697: Katagitonic, Ian Ring Music TheoryKatagitonic
Scale 2313Scale 2313, Ian Ring Music Theory
Scale 3337Scale 3337, Ian Ring Music Theory
Scale 3849Scale 3849, Ian Ring Music Theory
Scale 777Scale 777, Ian Ring Music Theory
Scale 1801Scale 1801, 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.