Scale 1635: "Sygimic"

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

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).

Common Names

Zeitler: Sygimic

Analysis

Cardinality	6 (hexatonic)
Pitch Class Set	{0,1,5,6,9,10}
Forte Number	6-Z19
Rotational Symmetry	none
Reflection Axes	none
Palindromic	no
Chirality	yes enantiomorph: 2253
Hemitonia	3 (trihemitonic)
Cohemitonia	0 (ancohemitonic)
Imperfections	3
Modes	5
Prime?	no prime: 411
Deep Scale	no
Interval Vector	313431
Interval Spectrum	p³m⁴n³sd³t
Distribution Spectra	<1> = {1,2,3,4} <2> = {3,4,5} <3> = {4,5,6,7,8} <4> = {7,8,9} <5> = {8,9,10,11}
Spectra Variation	2.333
Maximally Even	no
Maximal Area Set	no
Interior Area	2.116
Myhill Property	no
Balanced	no
Ridge Tones	none
Propriety	Improper
Heliotonic	no

Modes

Modes are the rotational transformation of this scale. Scale 1635 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 2865				Solimic
3rd mode: Scale 435				Raga Purna Pancama
4th mode: Scale 2265				Raga Rasamanjari
5th mode: Scale 795				Aeologimic
6th mode: Scale 2445				Zadimic

Prime

The prime form of this scale is Scale 411

Scale 411

Lygimic

Complement

The hexatonic modal family [1635, 2865, 435, 2265, 795, 2445] (Forte: 6-Z19) is the complement of the hexatonic modal family [615, 825, 915, 2355, 2505, 3225] (Forte: 6-Z44)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1635 is 2253

Scale 2253

Raga Amarasenapriya

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1635 is chiral, and its enantiomorph is scale 2253

Scale 2253

Raga Amarasenapriya

Transformations:

T₀	1635	T₀I	2253
T₁	3270	T₁I	411
T₂	2445	T₂I	822
T₃	795	T₃I	1644
T₄	1590	T₄I	3288
T₅	3180	T₅I	2481
T₆	2265	T₆I	867
T₇	435	T₇I	1734
T₈	870	T₈I	3468
T₉	1740	T₉I	2841
T₁₀	3480	T₁₀I	1587
T₁₁	2865	T₁₁I	3174

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 1633
Scale 1637				Syptimic
Scale 1639				Aeolothian
Scale 1643				Locrian Natural 6
Scale 1651				Asian
Scale 1603
Scale 1619				Prometheus Neapolitan
Scale 1571				Lagitonic
Scale 1699				Raga Rasavali
Scale 1763				Katalian
Scale 1891				Thalian
Scale 1123				Iwato
Scale 1379				Kycrimic
Scale 611				Anchihoye
Scale 2659				Katynimic
Scale 3683				Dycrian

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.