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Scale 2827

Scale 2827, 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

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,8,9,11}
Forte Number6-Z10
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2587
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 187
Deep Scaleno
Interval Vector333321
Interval Spectrump2m3n3s3d3t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {4,8}
<4> = {5,6,9,10}
<5> = {7,10,11}
Spectra Variation3.667
Maximally Evenno
Maximal Area Setno
Interior Area1.866
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2827 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3461
Scale 3461, Ian Ring Music Theory
3rd mode:
Scale 1889
Scale 1889, Ian Ring Music Theory
4th mode:
Scale 187
Scale 187, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2141
Scale 2141, Ian Ring Music Theory
6th mode:
Scale 1559
Scale 1559, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 187

Scale 187Scale 187, Ian Ring Music Theory

Complement

The hexatonic modal family [2827, 3461, 1889, 187, 2141, 1559] (Forte: 6-Z10) is the complement of the hexatonic modal family [317, 977, 1103, 2599, 3347, 3721] (Forte: 6-Z39)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2827 is 2587

Scale 2587Scale 2587, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2827 is chiral, and its enantiomorph is scale 2587

Scale 2587Scale 2587, Ian Ring Music Theory

Transformations:

T0 2827  T0I 2587
T1 1559  T1I 1079
T2 3118  T2I 2158
T3 2141  T3I 221
T4 187  T4I 442
T5 374  T5I 884
T6 748  T6I 1768
T7 1496  T7I 3536
T8 2992  T8I 2977
T9 1889  T9I 1859
T10 3778  T10I 3718
T11 3461  T11I 3341

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 2825Scale 2825, Ian Ring Music Theory
Scale 2829Scale 2829, Ian Ring Music Theory
Scale 2831Scale 2831, Ian Ring Music Theory
Scale 2819Scale 2819, Ian Ring Music Theory
Scale 2823Scale 2823, Ian Ring Music Theory
Scale 2835Scale 2835: Ionygimic, Ian Ring Music TheoryIonygimic
Scale 2843Scale 2843: Sorian, Ian Ring Music TheorySorian
Scale 2859Scale 2859: Phrycrian, Ian Ring Music TheoryPhrycrian
Scale 2891Scale 2891: Phrogian, Ian Ring Music TheoryPhrogian
Scale 2955Scale 2955: Thorian, Ian Ring Music TheoryThorian
Scale 2571Scale 2571, Ian Ring Music Theory
Scale 2699Scale 2699: Sythimic, Ian Ring Music TheorySythimic
Scale 2315Scale 2315, Ian Ring Music Theory
Scale 3339Scale 3339, Ian Ring Music Theory
Scale 3851Scale 3851, Ian Ring Music Theory
Scale 779Scale 779, Ian Ring Music Theory
Scale 1803Scale 1803, 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.