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Scale 905: "Bylitonic"

Scale 905: Bylitonic, 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

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



Cardinality5 (pentatonic)
Pitch Class Set{0,3,7,8,9}
Forte Number5-Z38
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 569
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
prime: 295
Deep Scaleno
Interval Vector212221
Interval Spectrump2m2n2sd2t
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5,6,7}
<3> = {5,6,7,8,10}
<4> = {8,9,11}
Spectra Variation3.2
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 905 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 625
Scale 625: Ionyptitonic, Ian Ring Music TheoryIonyptitonic
3rd mode:
Scale 295
Scale 295: Gyritonic, Ian Ring Music TheoryGyritonicThis is the prime mode
4th mode:
Scale 2195
Scale 2195: Zalitonic, Ian Ring Music TheoryZalitonic
5th mode:
Scale 3145
Scale 3145: Stolitonic, Ian Ring Music TheoryStolitonic


The prime form of this scale is Scale 295

Scale 295Scale 295: Gyritonic, Ian Ring Music TheoryGyritonic


The pentatonic modal family [905, 625, 295, 2195, 3145] (Forte: 5-Z38) is the complement of the heptatonic modal family [439, 1763, 1819, 2267, 2929, 2957, 3181] (Forte: 7-Z38)


The inverse of a scale is a reflection using the root as its axis. The inverse of 905 is 569

Scale 569Scale 569: Mothitonic, Ian Ring Music TheoryMothitonic


Only scales that are chiral will have an enantiomorph. Scale 905 is chiral, and its enantiomorph is scale 569

Scale 569Scale 569: Mothitonic, Ian Ring Music TheoryMothitonic


T0 905  T0I 569
T1 1810  T1I 1138
T2 3620  T2I 2276
T3 3145  T3I 457
T4 2195  T4I 914
T5 295  T5I 1828
T6 590  T6I 3656
T7 1180  T7I 3217
T8 2360  T8I 2339
T9 625  T9I 583
T10 1250  T10I 1166
T11 2500  T11I 2332

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 907Scale 907: Tholimic, Ian Ring Music TheoryTholimic
Scale 909Scale 909: Katarimic, Ian Ring Music TheoryKatarimic
Scale 897Scale 897, Ian Ring Music Theory
Scale 901Scale 901, Ian Ring Music Theory
Scale 913Scale 913: Aeolyritonic, Ian Ring Music TheoryAeolyritonic
Scale 921Scale 921: Bogimic, Ian Ring Music TheoryBogimic
Scale 937Scale 937: Stothimic, Ian Ring Music TheoryStothimic
Scale 969Scale 969: Ionogimic, Ian Ring Music TheoryIonogimic
Scale 777Scale 777, Ian Ring Music Theory
Scale 841Scale 841: Phrothitonic, Ian Ring Music TheoryPhrothitonic
Scale 649Scale 649: Byptic, Ian Ring Music TheoryByptic
Scale 393Scale 393: Lothic, Ian Ring Music TheoryLothic
Scale 1417Scale 1417: Raga Shailaja, Ian Ring Music TheoryRaga Shailaja
Scale 1929Scale 1929: Aeolycrimic, Ian Ring Music TheoryAeolycrimic
Scale 2953Scale 2953: Ionylimic, Ian Ring Music TheoryIonylimic

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 ( Peruse this Bibliography.