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Scale 1649: "Bolimic"

Scale 1649: Bolimic, 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
Bolimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,4,5,6,9,10}
Forte Number6-Z43
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 461
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 359
Deep Scaleno
Interval Vector322332
Interval Spectrump3m3n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {5,6,7}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1649 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 359
Scale 359: Bothimic, Ian Ring Music TheoryBothimicThis is the prime mode
3rd mode:
Scale 2227
Scale 2227: Raga Gaula, Ian Ring Music TheoryRaga Gaula
4th mode:
Scale 3161
Scale 3161: Kodimic, Ian Ring Music TheoryKodimic
5th mode:
Scale 907
Scale 907: Tholimic, Ian Ring Music TheoryTholimic
6th mode:
Scale 2501
Scale 2501: Ralimic, Ian Ring Music TheoryRalimic

Prime

The prime form of this scale is Scale 359

Scale 359Scale 359: Bothimic, Ian Ring Music TheoryBothimic

Complement

The hexatonic modal family [1649, 359, 2227, 3161, 907, 2501] (Forte: 6-Z43) is the complement of the hexatonic modal family [407, 739, 1817, 2251, 2417, 3173] (Forte: 6-Z17)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1649 is 461

Scale 461Scale 461: Raga Syamalam, Ian Ring Music TheoryRaga Syamalam

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1649 is chiral, and its enantiomorph is scale 461

Scale 461Scale 461: Raga Syamalam, Ian Ring Music TheoryRaga Syamalam

Transformations:

T0 1649  T0I 461
T1 3298  T1I 922
T2 2501  T2I 1844
T3 907  T3I 3688
T4 1814  T4I 3281
T5 3628  T5I 2467
T6 3161  T6I 839
T7 2227  T7I 1678
T8 359  T8I 3356
T9 718  T9I 2617
T10 1436  T10I 1139
T11 2872  T11I 2278

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 1651Scale 1651: Asian, Ian Ring Music TheoryAsian
Scale 1653Scale 1653: Minor Romani Inverse, Ian Ring Music TheoryMinor Romani Inverse
Scale 1657Scale 1657: Ionothian, Ian Ring Music TheoryIonothian
Scale 1633Scale 1633, Ian Ring Music Theory
Scale 1641Scale 1641: Bocrimic, Ian Ring Music TheoryBocrimic
Scale 1617Scale 1617: Phronitonic, Ian Ring Music TheoryPhronitonic
Scale 1585Scale 1585: Raga Khamaji Durga, Ian Ring Music TheoryRaga Khamaji Durga
Scale 1713Scale 1713: Raga Khamas, Ian Ring Music TheoryRaga Khamas
Scale 1777Scale 1777: Saptian, Ian Ring Music TheorySaptian
Scale 1905Scale 1905: Katacrian, Ian Ring Music TheoryKatacrian
Scale 1137Scale 1137: Stonitonic, Ian Ring Music TheoryStonitonic
Scale 1393Scale 1393: Mycrimic, Ian Ring Music TheoryMycrimic
Scale 625Scale 625: Ionyptitonic, Ian Ring Music TheoryIonyptitonic
Scale 2673Scale 2673: Mythimic, Ian Ring Music TheoryMythimic
Scale 3697Scale 3697: Ionarian, Ian Ring Music TheoryIonarian

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.