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Scale 1635: "Sygimic"

Scale 1635: Sygimic, 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.

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



Cardinality6 (hexatonic)
Pitch Class Set{0,1,5,6,9,10}
Forte Number6-Z19
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 2253
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
prime: 411
Deep Scaleno
Interval Vector313431
Interval Spectrump3m4n3sd3t
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 Variation2.333
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone


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
Scale 2865: Solimic, Ian Ring Music TheorySolimic
3rd mode:
Scale 435
Scale 435: Raga Purna Pancama, Ian Ring Music TheoryRaga Purna Pancama
4th mode:
Scale 2265
Scale 2265: Raga Rasamanjari, Ian Ring Music TheoryRaga Rasamanjari
5th mode:
Scale 795
Scale 795: Aeologimic, Ian Ring Music TheoryAeologimic
6th mode:
Scale 2445
Scale 2445: Zadimic, Ian Ring Music TheoryZadimic


The prime form of this scale is Scale 411

Scale 411Scale 411: Lygimic, Ian Ring Music TheoryLygimic


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)


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

Scale 2253Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya


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

Scale 2253Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya


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 1633Scale 1633, Ian Ring Music Theory
Scale 1637Scale 1637: Syptimic, Ian Ring Music TheorySyptimic
Scale 1639Scale 1639: Aeolothian, Ian Ring Music TheoryAeolothian
Scale 1643Scale 1643: Locrian Natural 6, Ian Ring Music TheoryLocrian Natural 6
Scale 1651Scale 1651: Asian, Ian Ring Music TheoryAsian
Scale 1603Scale 1603, Ian Ring Music Theory
Scale 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
Scale 1571Scale 1571: Lagitonic, Ian Ring Music TheoryLagitonic
Scale 1699Scale 1699: Raga Rasavali, Ian Ring Music TheoryRaga Rasavali
Scale 1763Scale 1763: Katalian, Ian Ring Music TheoryKatalian
Scale 1891Scale 1891: Thalian, Ian Ring Music TheoryThalian
Scale 1123Scale 1123: Iwato, Ian Ring Music TheoryIwato
Scale 1379Scale 1379: Kycrimic, Ian Ring Music TheoryKycrimic
Scale 611Scale 611: Anchihoye, Ian Ring Music TheoryAnchihoye
Scale 2659Scale 2659: Katynimic, Ian Ring Music TheoryKatynimic
Scale 3683Scale 3683: Dycrian, Ian Ring Music TheoryDycrian

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. Bibliography