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Scale 1349: "Tholitonic"

Scale 1349: Tholitonic, 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
Tholitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,6,8,10}
Forte Number5-33
Rotational Symmetrynone
Reflection Axes4
Palindromicno
Chiralityno
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections5
Modes4
Prime?no
prime: 341
Deep Scaleno
Interval Vector040402
Interval Spectrumm4s4t2
Distribution Spectra<1> = {2,4}
<2> = {4,6}
<3> = {6,8}
<4> = {8,10}
Spectra Variation1.6
Maximally Evenno
Maximal Area Setno
Interior Area2.165
Myhill Propertyyes
Balancedno
Ridge Tones[8]
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
Augmented TriadsD+{2,6,10}000

Since there is only one common triad in this scale, there are no opportunities for parsimonious voice leading between triads.

Modes

Modes are the rotational transformation of this scale. Scale 1349 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1361
Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
3rd mode:
Scale 341
Scale 341: Bothitonic, Ian Ring Music TheoryBothitonicThis is the prime mode
4th mode:
Scale 1109
Scale 1109: Kataditonic, Ian Ring Music TheoryKataditonic
5th mode:
Scale 1301
Scale 1301: Koditonic, Ian Ring Music TheoryKoditonic

Prime

The prime form of this scale is Scale 341

Scale 341Scale 341: Bothitonic, Ian Ring Music TheoryBothitonic

Complement

The pentatonic modal family [1349, 1361, 341, 1109, 1301] (Forte: 5-33) is the complement of the heptatonic modal family [1367, 1373, 1397, 1493, 1877, 2731, 3413] (Forte: 7-33)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1349 is 1109

Scale 1109Scale 1109: Kataditonic, Ian Ring Music TheoryKataditonic

Transformations:

T0 1349  T0I 1109
T1 2698  T1I 2218
T2 1301  T2I 341
T3 2602  T3I 682
T4 1109  T4I 1364
T5 2218  T5I 2728
T6 341  T6I 1361
T7 682  T7I 2722
T8 1364  T8I 1349
T9 2728  T9I 2698
T10 1361  T10I 1301
T11 2722  T11I 2602

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 1351Scale 1351: Aeraptimic, Ian Ring Music TheoryAeraptimic
Scale 1345Scale 1345, Ian Ring Music Theory
Scale 1347Scale 1347, Ian Ring Music Theory
Scale 1353Scale 1353: Raga Harikauns, Ian Ring Music TheoryRaga Harikauns
Scale 1357Scale 1357: Takemitsu Linea Mode 2, Ian Ring Music TheoryTakemitsu Linea Mode 2
Scale 1365Scale 1365: Whole Tone, Ian Ring Music TheoryWhole Tone
Scale 1381Scale 1381: Padimic, Ian Ring Music TheoryPadimic
Scale 1285Scale 1285, Ian Ring Music Theory
Scale 1317Scale 1317: Chaio, Ian Ring Music TheoryChaio
Scale 1413Scale 1413, Ian Ring Music Theory
Scale 1477Scale 1477: Raga Jaganmohanam, Ian Ring Music TheoryRaga Jaganmohanam
Scale 1093Scale 1093: Lydic, Ian Ring Music TheoryLydic
Scale 1221Scale 1221: Epyritonic, Ian Ring Music TheoryEpyritonic
Scale 1605Scale 1605: Zanitonic, Ian Ring Music TheoryZanitonic
Scale 1861Scale 1861: Phrygimic, Ian Ring Music TheoryPhrygimic
Scale 325Scale 325: Messiaen Truncated Mode 6, Ian Ring Music TheoryMessiaen Truncated Mode 6
Scale 837Scale 837: Epaditonic, Ian Ring Music TheoryEpaditonic
Scale 2373Scale 2373: Dyptitonic, Ian Ring Music TheoryDyptitonic
Scale 3397Scale 3397: Sydimic, Ian Ring Music TheorySydimic

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.