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Scale 2845: "Baptian"

Scale 2845: Baptian, 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
Baptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,8,9,11}
Forte Number7-Z38
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1819
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 439
Deep Scaleno
Interval Vector434442
Interval Spectrump4m4n4s3d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,9,10}
<6> = {8,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2845 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1735
Scale 1735: Mela Navanitam, Ian Ring Music TheoryMela Navanitam
3rd mode:
Scale 2915
Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian
4th mode:
Scale 3505
Scale 3505: Stygian, Ian Ring Music TheoryStygian
5th mode:
Scale 475
Scale 475: Aeolygian, Ian Ring Music TheoryAeolygian
6th mode:
Scale 2285
Scale 2285: Aerogian, Ian Ring Music TheoryAerogian
7th mode:
Scale 1595
Scale 1595: Dacrian, Ian Ring Music TheoryDacrian

Prime

The prime form of this scale is Scale 439

Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian

Complement

The heptatonic modal family [2845, 1735, 2915, 3505, 475, 2285, 1595] (Forte: 7-Z38) is the complement of the pentatonic modal family [295, 625, 905, 2195, 3145] (Forte: 5-Z38)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2845 is 1819

Scale 1819Scale 1819: Pydian, Ian Ring Music TheoryPydian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2845 is chiral, and its enantiomorph is scale 1819

Scale 1819Scale 1819: Pydian, Ian Ring Music TheoryPydian

Transformations:

T0 2845  T0I 1819
T1 1595  T1I 3638
T2 3190  T2I 3181
T3 2285  T3I 2267
T4 475  T4I 439
T5 950  T5I 878
T6 1900  T6I 1756
T7 3800  T7I 3512
T8 3505  T8I 2929
T9 2915  T9I 1763
T10 1735  T10I 3526
T11 3470  T11I 2957

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 2847Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
Scale 2841Scale 2841: Sothimic, Ian Ring Music TheorySothimic
Scale 2843Scale 2843: Sorian, Ian Ring Music TheorySorian
Scale 2837Scale 2837: Aelothimic, Ian Ring Music TheoryAelothimic
Scale 2829Scale 2829, Ian Ring Music Theory
Scale 2861Scale 2861: Katothian, Ian Ring Music TheoryKatothian
Scale 2877Scale 2877: Phrylyllic, Ian Ring Music TheoryPhrylyllic
Scale 2909Scale 2909: Mocryllic, Ian Ring Music TheoryMocryllic
Scale 2973Scale 2973: Panyllic, Ian Ring Music TheoryPanyllic
Scale 2589Scale 2589, Ian Ring Music Theory
Scale 2717Scale 2717: Epygian, Ian Ring Music TheoryEpygian
Scale 2333Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
Scale 3357Scale 3357: Phrodian, Ian Ring Music TheoryPhrodian
Scale 3869Scale 3869: Bygyllic, Ian Ring Music TheoryBygyllic
Scale 797Scale 797: Katocrimic, Ian Ring Music TheoryKatocrimic
Scale 1821Scale 1821: Aeradian, Ian Ring Music TheoryAeradian

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.