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Scale 843: "Molimic"

Scale 843: Molimic, 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
Molimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,6,8,9}
Forte Number6-Z29
Rotational Symmetrynone
Reflection Axes4.5
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 717
Deep Scaleno
Interval Vector224232
Interval Spectrump3m2n4s2d2t2
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
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tones[9]
ProprietyProper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsG♯{8,0,3}231.5
Minor Triadsf♯m{6,9,1}231.5
Diminished Triads{0,3,6}231.5
d♯°{3,6,9}231.5
f♯°{6,9,0}231.5
{9,0,3}231.5
Parsimonious Voice Leading Between Common Triads of Scale 843. Created by Ian Ring ©2019 d#° d#° c°->d#° G# G# c°->G# f#m f#m d#°->f#m f#° f#° f#°->f#m f#°->a° G#->a°

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter3
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 843 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2469
Scale 2469: Raga Bhinna Pancama, Ian Ring Music TheoryRaga Bhinna Pancama
3rd mode:
Scale 1641
Scale 1641: Bocrimic, Ian Ring Music TheoryBocrimic
4th mode:
Scale 717
Scale 717: Raga Vijayanagari, Ian Ring Music TheoryRaga VijayanagariThis is the prime mode
5th mode:
Scale 1203
Scale 1203: Pagimic, Ian Ring Music TheoryPagimic
6th mode:
Scale 2649
Scale 2649: Aeolythimic, Ian Ring Music TheoryAeolythimic

Prime

The prime form of this scale is Scale 717

Scale 717Scale 717: Raga Vijayanagari, Ian Ring Music TheoryRaga Vijayanagari

Complement

The hexatonic modal family [843, 2469, 1641, 717, 1203, 2649] (Forte: 6-Z29) is the complement of the hexatonic modal family [723, 813, 1227, 1689, 2409, 2661] (Forte: 6-Z50)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 843 is 2649

Scale 2649Scale 2649: Aeolythimic, Ian Ring Music TheoryAeolythimic

Transformations:

T0 843  T0I 2649
T1 1686  T1I 1203
T2 3372  T2I 2406
T3 2649  T3I 717
T4 1203  T4I 1434
T5 2406  T5I 2868
T6 717  T6I 1641
T7 1434  T7I 3282
T8 2868  T8I 2469
T9 1641  T9I 843
T10 3282  T10I 1686
T11 2469  T11I 3372

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 841Scale 841: Phrothitonic, Ian Ring Music TheoryPhrothitonic
Scale 845Scale 845: Raga Neelangi, Ian Ring Music TheoryRaga Neelangi
Scale 847Scale 847: Ganian, Ian Ring Music TheoryGanian
Scale 835Scale 835, Ian Ring Music Theory
Scale 839Scale 839: Ionathimic, Ian Ring Music TheoryIonathimic
Scale 851Scale 851: Raga Hejjajji, Ian Ring Music TheoryRaga Hejjajji
Scale 859Scale 859: Ultralocrian, Ian Ring Music TheoryUltralocrian
Scale 875Scale 875: Locrian Double-flat 7, Ian Ring Music TheoryLocrian Double-flat 7
Scale 779Scale 779, Ian Ring Music Theory
Scale 811Scale 811: Radimic, Ian Ring Music TheoryRadimic
Scale 907Scale 907: Tholimic, Ian Ring Music TheoryTholimic
Scale 971Scale 971: Mela Gavambodhi, Ian Ring Music TheoryMela Gavambodhi
Scale 587Scale 587: Pathitonic, Ian Ring Music TheoryPathitonic
Scale 715Scale 715: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2
Scale 331Scale 331: Raga Chhaya Todi, Ian Ring Music TheoryRaga Chhaya Todi
Scale 1355Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
Scale 1867Scale 1867: Solian, Ian Ring Music TheorySolian
Scale 2891Scale 2891: Phrogian, Ian Ring Music TheoryPhrogian

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.