The Exciting Universe Of Music Theory

more than you ever wanted to know about...

Scale 3629: "Boptian"

Scale 3629: Boptian, 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



Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,5,9,10,11}
Forte Number7-Z36
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 1679
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
prime: 367
Deep Scaleno
Interval Vector444342
Interval Spectrump4m3n4s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation3.143
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone

Harmonic Chords


Modes are the rotational transformation of this scale. Scale 3629 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1931
Scale 1931: Stogian, Ian Ring Music TheoryStogian
3rd mode:
Scale 3013
Scale 3013: Thynian, Ian Ring Music TheoryThynian
4th mode:
Scale 1777
Scale 1777: Saptian, Ian Ring Music TheorySaptian
5th mode:
Scale 367
Scale 367: Aerodian, Ian Ring Music TheoryAerodianThis is the prime mode
6th mode:
Scale 2231
Scale 2231: Macrian, Ian Ring Music TheoryMacrian
7th mode:
Scale 3163
Scale 3163: Rogian, Ian Ring Music TheoryRogian


The prime form of this scale is Scale 367

Scale 367Scale 367: Aerodian, Ian Ring Music TheoryAerodian


The heptatonic modal family [3629, 1931, 3013, 1777, 367, 2231, 3163] (Forte: 7-Z36) is the complement of the pentatonic modal family [151, 737, 1801, 2123, 3109] (Forte: 5-Z36)


The inverse of a scale is a reflection using the root as its axis. The inverse of 3629 is 1679

Scale 1679Scale 1679: Kydian, Ian Ring Music TheoryKydian


Only scales that are chiral will have an enantiomorph. Scale 3629 is chiral, and its enantiomorph is scale 1679

Scale 1679Scale 1679: Kydian, Ian Ring Music TheoryKydian


T0 3629  T0I 1679
T1 3163  T1I 3358
T2 2231  T2I 2621
T3 367  T3I 1147
T4 734  T4I 2294
T5 1468  T5I 493
T6 2936  T6I 986
T7 1777  T7I 1972
T8 3554  T8I 3944
T9 3013  T9I 3793
T10 1931  T10I 3491
T11 3862  T11I 2887

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 3631Scale 3631: Gydyllic, Ian Ring Music TheoryGydyllic
Scale 3625Scale 3625: Podimic, Ian Ring Music TheoryPodimic
Scale 3627Scale 3627: Kalian, Ian Ring Music TheoryKalian
Scale 3621Scale 3621: Gylimic, Ian Ring Music TheoryGylimic
Scale 3637Scale 3637: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri
Scale 3645Scale 3645: Zycryllic, Ian Ring Music TheoryZycryllic
Scale 3597Scale 3597, Ian Ring Music Theory
Scale 3613Scale 3613, Ian Ring Music Theory
Scale 3661Scale 3661: Mixodorian, Ian Ring Music TheoryMixodorian
Scale 3693Scale 3693: Stadyllic, Ian Ring Music TheoryStadyllic
Scale 3757Scale 3757: Raga Mian Ki Malhar, Ian Ring Music TheoryRaga Mian Ki Malhar
Scale 3885Scale 3885: Styryllic, Ian Ring Music TheoryStyryllic
Scale 3117Scale 3117, Ian Ring Music Theory
Scale 3373Scale 3373: Lodian, Ian Ring Music TheoryLodian
Scale 2605Scale 2605: Rylimic, Ian Ring Music TheoryRylimic
Scale 1581Scale 1581: Raga Bagesri, Ian Ring Music TheoryRaga Bagesri

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