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Scale 3853

Scale 3853, 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

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,8,9,10,11}
Forte Number7-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1567
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes6
Prime?no
prime: 223
Deep Scaleno
Interval Vector544332
Interval Spectrump3m3n4s4d5t2
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6}
<3> = {3,4,7,8}
<4> = {4,5,8,9}
<5> = {6,9,10}
<6> = {7,10,11}
Spectra Variation3.714
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3853 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1987
Scale 1987, Ian Ring Music Theory
3rd mode:
Scale 3041
Scale 3041, Ian Ring Music Theory
4th mode:
Scale 223
Scale 223, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2159
Scale 2159, Ian Ring Music Theory
6th mode:
Scale 3127
Scale 3127, Ian Ring Music Theory
7th mode:
Scale 3611
Scale 3611, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 223

Scale 223Scale 223, Ian Ring Music Theory

Complement

The heptatonic modal family [3853, 1987, 3041, 223, 2159, 3127, 3611] (Forte: 7-4) is the complement of the pentatonic modal family [79, 961, 2087, 3091, 3593] (Forte: 5-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3853 is 1567

Scale 1567Scale 1567, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3853 is chiral, and its enantiomorph is scale 1567

Scale 1567Scale 1567, Ian Ring Music Theory

Transformations:

T0 3853  T0I 1567
T1 3611  T1I 3134
T2 3127  T2I 2173
T3 2159  T3I 251
T4 223  T4I 502
T5 446  T5I 1004
T6 892  T6I 2008
T7 1784  T7I 4016
T8 3568  T8I 3937
T9 3041  T9I 3779
T10 1987  T10I 3463
T11 3974  T11I 2831

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 3855Scale 3855, Ian Ring Music Theory
Scale 3849Scale 3849, Ian Ring Music Theory
Scale 3851Scale 3851, Ian Ring Music Theory
Scale 3845Scale 3845, Ian Ring Music Theory
Scale 3861Scale 3861: Phroptian, Ian Ring Music TheoryPhroptian
Scale 3869Scale 3869: Bygyllic, Ian Ring Music TheoryBygyllic
Scale 3885Scale 3885: Styryllic, Ian Ring Music TheoryStyryllic
Scale 3917Scale 3917: Katoptyllic, Ian Ring Music TheoryKatoptyllic
Scale 3981Scale 3981: Phrycryllic, Ian Ring Music TheoryPhrycryllic
Scale 3597Scale 3597, Ian Ring Music Theory
Scale 3725Scale 3725: Kyrian, Ian Ring Music TheoryKyrian
Scale 3341Scale 3341, Ian Ring Music Theory
Scale 2829Scale 2829, Ian Ring Music Theory
Scale 1805Scale 1805, 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.