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Scale 1637: "Syptimic"

Scale 1637: Syptimic, 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).

Common Names

Zeitler
Syptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,5,6,9,10}
Forte Number6-31
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1229
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 691
Deep Scaleno
Interval Vector223431
Interval Spectrump3m4n3s2d2t
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {5,6,7}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.667
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1637 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1433
Scale 1433: Dynimic, Ian Ring Music TheoryDynimic
3rd mode:
Scale 691
Scale 691: Raga Kalavati, Ian Ring Music TheoryRaga KalavatiThis is the prime mode
4th mode:
Scale 2393
Scale 2393: Zathimic, Ian Ring Music TheoryZathimic
5th mode:
Scale 811
Scale 811: Radimic, Ian Ring Music TheoryRadimic
6th mode:
Scale 2453
Scale 2453: Raga Latika, Ian Ring Music TheoryRaga Latika

Prime

The prime form of this scale is Scale 691

Scale 691Scale 691: Raga Kalavati, Ian Ring Music TheoryRaga Kalavati

Complement

The hexatonic modal family [1637, 1433, 691, 2393, 811, 2453] (Forte: 6-31) is the complement of the hexatonic modal family [691, 811, 1433, 1637, 2393, 2453] (Forte: 6-31)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1637 is 1229

Scale 1229Scale 1229: Raga Simharava, Ian Ring Music TheoryRaga Simharava

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1637 is chiral, and its enantiomorph is scale 1229

Scale 1229Scale 1229: Raga Simharava, Ian Ring Music TheoryRaga Simharava

Transformations:

T0 1637  T0I 1229
T1 3274  T1I 2458
T2 2453  T2I 821
T3 811  T3I 1642
T4 1622  T4I 3284
T5 3244  T5I 2473
T6 2393  T6I 851
T7 691  T7I 1702
T8 1382  T8I 3404
T9 2764  T9I 2713
T10 1433  T10I 1331
T11 2866  T11I 2662

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 1639Scale 1639: Aeolothian, Ian Ring Music TheoryAeolothian
Scale 1633Scale 1633, Ian Ring Music Theory
Scale 1635Scale 1635: Sygimic, Ian Ring Music TheorySygimic
Scale 1641Scale 1641: Bocrimic, Ian Ring Music TheoryBocrimic
Scale 1645Scale 1645: Dorian Flat 5, Ian Ring Music TheoryDorian Flat 5
Scale 1653Scale 1653: Minor Romani Inverse, Ian Ring Music TheoryMinor Romani Inverse
Scale 1605Scale 1605: Zanitonic, Ian Ring Music TheoryZanitonic
Scale 1621Scale 1621: Scriabin's Prometheus, Ian Ring Music TheoryScriabin's Prometheus
Scale 1573Scale 1573: Raga Guhamanohari, Ian Ring Music TheoryRaga Guhamanohari
Scale 1701Scale 1701: Dominant Seventh, Ian Ring Music TheoryDominant Seventh
Scale 1765Scale 1765: Lonian, Ian Ring Music TheoryLonian
Scale 1893Scale 1893: Ionylian, Ian Ring Music TheoryIonylian
Scale 1125Scale 1125: Ionaritonic, Ian Ring Music TheoryIonaritonic
Scale 1381Scale 1381: Padimic, Ian Ring Music TheoryPadimic
Scale 613Scale 613: Phralitonic, Ian Ring Music TheoryPhralitonic
Scale 2661Scale 2661: Stydimic, Ian Ring Music TheoryStydimic
Scale 3685Scale 3685: Kodian, Ian Ring Music TheoryKodian

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.