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Scale 1841: "Thogimic"

Scale 1841: Thogimic, Ian Ring Music Theory

Common Names

Zeitler
Thogimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,4,5,8,9,10}
Forte Number6-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 413
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 371
Deep Scaleno
Interval Vector322431
Interval Spectrump3m4n2s2d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1841 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 371
Scale 371: Rythimic, Ian Ring Music TheoryRythimicThis is the prime mode
3rd mode:
Scale 2233
Scale 2233: Donimic, Ian Ring Music TheoryDonimic
4th mode:
Scale 791
Scale 791: Aeoloptimic, Ian Ring Music TheoryAeoloptimic
5th mode:
Scale 2443
Scale 2443: Panimic, Ian Ring Music TheoryPanimic
6th mode:
Scale 3269
Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani

Prime

The prime form of this scale is Scale 371

Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic

Complement

The hexatonic modal family [1841, 371, 2233, 791, 2443, 3269] (Forte: 6-16) is the complement of the hexatonic modal family [371, 791, 1841, 2233, 2443, 3269] (Forte: 6-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1841 is 413

Scale 413Scale 413: Ganimic, Ian Ring Music TheoryGanimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1841 is chiral, and its enantiomorph is scale 413

Scale 413Scale 413: Ganimic, Ian Ring Music TheoryGanimic

Transformations:

T0 1841  T0I 413
T1 3682  T1I 826
T2 3269  T2I 1652
T3 2443  T3I 3304
T4 791  T4I 2513
T5 1582  T5I 931
T6 3164  T6I 1862
T7 2233  T7I 3724
T8 371  T8I 3353
T9 742  T9I 2611
T10 1484  T10I 1127
T11 2968  T11I 2254

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 1843Scale 1843: Ionygian, Ian Ring Music TheoryIonygian
Scale 1845Scale 1845: Lagian, Ian Ring Music TheoryLagian
Scale 1849Scale 1849: Chromatic Hypodorian Inverse, Ian Ring Music TheoryChromatic Hypodorian Inverse
Scale 1825Scale 1825, Ian Ring Music Theory
Scale 1833Scale 1833: Ionacrimic, Ian Ring Music TheoryIonacrimic
Scale 1809Scale 1809: Ranitonic, Ian Ring Music TheoryRanitonic
Scale 1873Scale 1873: Dathimic, Ian Ring Music TheoryDathimic
Scale 1905Scale 1905: Katacrian, Ian Ring Music TheoryKatacrian
Scale 1969Scale 1969: Stylian, Ian Ring Music TheoryStylian
Scale 1585Scale 1585: Raga Khamaji Durga, Ian Ring Music TheoryRaga Khamaji Durga
Scale 1713Scale 1713: Raga Khamas, Ian Ring Music TheoryRaga Khamas
Scale 1329Scale 1329: Epygitonic, Ian Ring Music TheoryEpygitonic
Scale 817Scale 817: Zothitonic, Ian Ring Music TheoryZothitonic
Scale 2865Scale 2865: Solimic, Ian Ring Music TheorySolimic
Scale 3889Scale 3889: Parian, Ian Ring Music TheoryParian

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