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Scale 841: "Phrothitonic"

Scale 841: Phrothitonic, Ian Ring Music Theory

Bracelet Diagram

Tonnetz Diagram


Common Names



Cardinality5 (pentatonic)
Pitch Class Set{0,3,6,8,9}
Forte Number5-31
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 601
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
prime: 587
Deep Scaleno
Interval Vector114112
Interval Spectrumpmn4sdt2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 841 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 617
Scale 617: Katycritonic, Ian Ring Music TheoryKatycritonic
3rd mode:
Scale 589
Scale 589: Ionalitonic, Ian Ring Music TheoryIonalitonic
4th mode:
Scale 1171
Scale 1171: Raga Manaranjani I, Ian Ring Music TheoryRaga Manaranjani I
5th mode:
Scale 2633
Scale 2633: Mixitonic, Ian Ring Music TheoryMixitonic


The prime form of this scale is Scale 587

Scale 587Scale 587: Pathitonic, Ian Ring Music TheoryPathitonic


The pentatonic modal family [841, 617, 589, 1171, 2633] (Forte: 5-31) is the complement of the heptatonic modal family [731, 1627, 1739, 1753, 2413, 2861, 2917] (Forte: 7-31)


The inverse of a scale is a reflection using the root as its axis. The inverse of 841 is 601

Scale 601Scale 601: Bycritonic, Ian Ring Music TheoryBycritonic


Only scales that are chiral will have an enantiomorph. Scale 841 is chiral, and its enantiomorph is scale 601

Scale 601Scale 601: Bycritonic, Ian Ring Music TheoryBycritonic


T0 841  T0I 601
T1 1682  T1I 1202
T2 3364  T2I 2404
T3 2633  T3I 713
T4 1171  T4I 1426
T5 2342  T5I 2852
T6 589  T6I 1609
T7 1178  T7I 3218
T8 2356  T8I 2341
T9 617  T9I 587
T10 1234  T10I 1174
T11 2468  T11I 2348

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 843Scale 843: Molimic, Ian Ring Music TheoryMolimic
Scale 845Scale 845: Raga Neelangi, Ian Ring Music TheoryRaga Neelangi
Scale 833Scale 833, Ian Ring Music Theory
Scale 837Scale 837: Epaditonic, Ian Ring Music TheoryEpaditonic
Scale 849Scale 849: Aerynitonic, Ian Ring Music TheoryAerynitonic
Scale 857Scale 857: Aeolydimic, Ian Ring Music TheoryAeolydimic
Scale 873Scale 873: Bagimic, Ian Ring Music TheoryBagimic
Scale 777Scale 777, Ian Ring Music Theory
Scale 809Scale 809: Dogitonic, Ian Ring Music TheoryDogitonic
Scale 905Scale 905: Bylitonic, Ian Ring Music TheoryBylitonic
Scale 969Scale 969: Ionogimic, Ian Ring Music TheoryIonogimic
Scale 585Scale 585: Diminished Seventh, Ian Ring Music TheoryDiminished Seventh
Scale 713Scale 713: Thoptitonic, Ian Ring Music TheoryThoptitonic
Scale 329Scale 329: Mynic, Ian Ring Music TheoryMynic
Scale 1353Scale 1353: Raga Harikauns, Ian Ring Music TheoryRaga Harikauns
Scale 1865Scale 1865: Thagimic, Ian Ring Music TheoryThagimic
Scale 2889Scale 2889: Thoptimic, Ian Ring Music TheoryThoptimic

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