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Scale 1109: "Kataditonic"

Scale 1109: Kataditonic, 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
Kataditonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,4,6,10}
Forte Number5-33
Rotational Symmetrynone
Reflection Axes2
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[4]
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 1109 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1301
Scale 1301: Koditonic, Ian Ring Music TheoryKoditonic
3rd mode:
Scale 1349
Scale 1349: Tholitonic, Ian Ring Music TheoryTholitonic
4th mode:
Scale 1361
Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
5th mode:
Scale 341
Scale 341: Bothitonic, Ian Ring Music TheoryBothitonicThis is the prime mode

Prime

The prime form of this scale is Scale 341

Scale 341Scale 341: Bothitonic, Ian Ring Music TheoryBothitonic

Complement

The pentatonic modal family [1109, 1301, 1349, 1361, 341] (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 1109 is 1349

Scale 1349Scale 1349: Tholitonic, Ian Ring Music TheoryTholitonic

Transformations:

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

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 1111Scale 1111: Sycrimic, Ian Ring Music TheorySycrimic
Scale 1105Scale 1105: Messiaen Truncated Mode 6 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 6 Inverse
Scale 1107Scale 1107: Mogitonic, Ian Ring Music TheoryMogitonic
Scale 1113Scale 1113: Locrian Pentatonic 2, Ian Ring Music TheoryLocrian Pentatonic 2
Scale 1117Scale 1117: Raptimic, Ian Ring Music TheoryRaptimic
Scale 1093Scale 1093: Lydic, Ian Ring Music TheoryLydic
Scale 1101Scale 1101: Stothitonic, Ian Ring Music TheoryStothitonic
Scale 1125Scale 1125: Ionaritonic, Ian Ring Music TheoryIonaritonic
Scale 1141Scale 1141: Rynimic, Ian Ring Music TheoryRynimic
Scale 1045Scale 1045, Ian Ring Music Theory
Scale 1077Scale 1077, Ian Ring Music Theory
Scale 1173Scale 1173: Dominant Pentatonic, Ian Ring Music TheoryDominant Pentatonic
Scale 1237Scale 1237: Salimic, Ian Ring Music TheorySalimic
Scale 1365Scale 1365: Whole Tone, Ian Ring Music TheoryWhole Tone
Scale 1621Scale 1621: Scriabin's Prometheus, Ian Ring Music TheoryScriabin's Prometheus
Scale 85Scale 85, Ian Ring Music Theory
Scale 597Scale 597: Kung, Ian Ring Music TheoryKung
Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki
Scale 3157Scale 3157: Zyptimic, Ian Ring Music TheoryZyptimic

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.