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Scale 2631: "Macrimic"

Scale 2631: Macrimic, 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
Macrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,6,9,11}
Forte Number6-Z40
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3147
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?no
prime: 303
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,5,7}
<3> = {3,4,6,8,9}
<4> = {5,7,9,10}
<5> = {8,9,10,11}
Spectra Variation3.667
Maximally Evenno
Maximal Area Setno
Interior Area2.116
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2631 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3363
Scale 3363: Rogimic, Ian Ring Music TheoryRogimic
3rd mode:
Scale 3729
Scale 3729: Starimic, Ian Ring Music TheoryStarimic
4th mode:
Scale 489
Scale 489: Phrathimic, Ian Ring Music TheoryPhrathimic
5th mode:
Scale 573
Scale 573: Saptimic, Ian Ring Music TheorySaptimic
6th mode:
Scale 1167
Scale 1167: Aerodimic, Ian Ring Music TheoryAerodimic

Prime

The prime form of this scale is Scale 303

Scale 303Scale 303: Golimic, Ian Ring Music TheoryGolimic

Complement

The hexatonic modal family [2631, 3363, 3729, 489, 573, 1167] (Forte: 6-Z40) is the complement of the hexatonic modal family [183, 1761, 1803, 2139, 2949, 3117] (Forte: 6-Z11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2631 is 3147

Scale 3147Scale 3147: Ryrimic, Ian Ring Music TheoryRyrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2631 is chiral, and its enantiomorph is scale 3147

Scale 3147Scale 3147: Ryrimic, Ian Ring Music TheoryRyrimic

Transformations:

T0 2631  T0I 3147
T1 1167  T1I 2199
T2 2334  T2I 303
T3 573  T3I 606
T4 1146  T4I 1212
T5 2292  T5I 2424
T6 489  T6I 753
T7 978  T7I 1506
T8 1956  T8I 3012
T9 3912  T9I 1929
T10 3729  T10I 3858
T11 3363  T11I 3621

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 2629Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
Scale 2627Scale 2627, Ian Ring Music Theory
Scale 2635Scale 2635: Gocrimic, Ian Ring Music TheoryGocrimic
Scale 2639Scale 2639: Dothian, Ian Ring Music TheoryDothian
Scale 2647Scale 2647: Dadian, Ian Ring Music TheoryDadian
Scale 2663Scale 2663: Lalian, Ian Ring Music TheoryLalian
Scale 2567Scale 2567, Ian Ring Music Theory
Scale 2599Scale 2599: Malimic, Ian Ring Music TheoryMalimic
Scale 2695Scale 2695, Ian Ring Music Theory
Scale 2759Scale 2759: Mela Pavani, Ian Ring Music TheoryMela Pavani
Scale 2887Scale 2887: Gaptian, Ian Ring Music TheoryGaptian
Scale 2119Scale 2119, Ian Ring Music Theory
Scale 2375Scale 2375: Aeolaptimic, Ian Ring Music TheoryAeolaptimic
Scale 3143Scale 3143: Polimic, Ian Ring Music TheoryPolimic
Scale 3655Scale 3655: Mathian, Ian Ring Music TheoryMathian
Scale 583Scale 583: Aeritonic, Ian Ring Music TheoryAeritonic
Scale 1607Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic

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.