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Scale 1369: "Boptimic"

Scale 1369: Boptimic, 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
Boptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,6,8,10}
Forte Number6-34
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 853
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 683
Deep Scaleno
Interval Vector142422
Interval Spectrump2m4n2s4dt2
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
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1369 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 683
Scale 683: Stogimic, Ian Ring Music TheoryStogimicThis is the prime mode
3rd mode:
Scale 2389
Scale 2389: Eskimo Hexatonic 2, Ian Ring Music TheoryEskimo Hexatonic 2
4th mode:
Scale 1621
Scale 1621: Scriabin's Prometheus, Ian Ring Music TheoryScriabin's Prometheus
5th mode:
Scale 1429
Scale 1429: Bythimic, Ian Ring Music TheoryBythimic
6th mode:
Scale 1381
Scale 1381: Padimic, Ian Ring Music TheoryPadimic

Prime

The prime form of this scale is Scale 683

Scale 683Scale 683: Stogimic, Ian Ring Music TheoryStogimic

Complement

The hexatonic modal family [1369, 683, 2389, 1621, 1429, 1381] (Forte: 6-34) is the complement of the hexatonic modal family [683, 1369, 1381, 1429, 1621, 2389] (Forte: 6-34)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1369 is 853

Scale 853Scale 853: Epothimic, Ian Ring Music TheoryEpothimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1369 is chiral, and its enantiomorph is scale 853

Scale 853Scale 853: Epothimic, Ian Ring Music TheoryEpothimic

Transformations:

T0 1369  T0I 853
T1 2738  T1I 1706
T2 1381  T2I 3412
T3 2762  T3I 2729
T4 1429  T4I 1363
T5 2858  T5I 2726
T6 1621  T6I 1357
T7 3242  T7I 2714
T8 2389  T8I 1333
T9 683  T9I 2666
T10 1366  T10I 1237
T11 2732  T11I 2474

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 1371Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrian
Scale 1373Scale 1373: Storian, Ian Ring Music TheoryStorian
Scale 1361Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
Scale 1365Scale 1365: Whole Tone, Ian Ring Music TheoryWhole Tone
Scale 1353Scale 1353: Raga Harikauns, Ian Ring Music TheoryRaga Harikauns
Scale 1385Scale 1385: Phracrimic, Ian Ring Music TheoryPhracrimic
Scale 1401Scale 1401: Pagian, Ian Ring Music TheoryPagian
Scale 1305Scale 1305: Dynitonic, Ian Ring Music TheoryDynitonic
Scale 1337Scale 1337: Epogimic, Ian Ring Music TheoryEpogimic
Scale 1433Scale 1433: Dynimic, Ian Ring Music TheoryDynimic
Scale 1497Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini
Scale 1113Scale 1113: Locrian Pentatonic 2, Ian Ring Music TheoryLocrian Pentatonic 2
Scale 1241Scale 1241: Pygimic, Ian Ring Music TheoryPygimic
Scale 1625Scale 1625: Lythimic, Ian Ring Music TheoryLythimic
Scale 1881Scale 1881: Katorian, Ian Ring Music TheoryKatorian
Scale 345Scale 345: Gylitonic, Ian Ring Music TheoryGylitonic
Scale 857Scale 857: Aeolydimic, Ian Ring Music TheoryAeolydimic
Scale 2393Scale 2393: Zathimic, Ian Ring Music TheoryZathimic
Scale 3417Scale 3417: Golian, Ian Ring Music TheoryGolian

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.