The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1301: "Koditonic"

Scale 1301: Koditonic, 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
Koditonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,4,8,10}
Forte Number5-33
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
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[0]
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 TriadsC+{0,4,8}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 1301 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1349
Scale 1349: Tholitonic, Ian Ring Music TheoryTholitonic
3rd mode:
Scale 1361
Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
4th mode:
Scale 341
Scale 341: Bothitonic, Ian Ring Music TheoryBothitonicThis is the prime mode
5th mode:
Scale 1109
Scale 1109: Kataditonic, Ian Ring Music TheoryKataditonic

Prime

The prime form of this scale is Scale 341

Scale 341Scale 341: Bothitonic, Ian Ring Music TheoryBothitonic

Complement

The pentatonic modal family [1301, 1349, 1361, 341, 1109] (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 1301 is itself, because it is a palindromic scale!

Scale 1301Scale 1301: Koditonic, Ian Ring Music TheoryKoditonic

Transformations:

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

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 1303Scale 1303: Epolimic, Ian Ring Music TheoryEpolimic
Scale 1297Scale 1297: Aeolic, Ian Ring Music TheoryAeolic
Scale 1299Scale 1299: Aerophitonic, Ian Ring Music TheoryAerophitonic
Scale 1305Scale 1305: Dynitonic, Ian Ring Music TheoryDynitonic
Scale 1309Scale 1309: Pogimic, Ian Ring Music TheoryPogimic
Scale 1285Scale 1285, Ian Ring Music Theory
Scale 1293Scale 1293, Ian Ring Music Theory
Scale 1317Scale 1317: Chaio, Ian Ring Music TheoryChaio
Scale 1333Scale 1333: Lyptimic, Ian Ring Music TheoryLyptimic
Scale 1365Scale 1365: Whole Tone, Ian Ring Music TheoryWhole Tone
Scale 1429Scale 1429: Bythimic, Ian Ring Music TheoryBythimic
Scale 1045Scale 1045, Ian Ring Music Theory
Scale 1173Scale 1173: Dominant Pentatonic, Ian Ring Music TheoryDominant Pentatonic
Scale 1557Scale 1557, Ian Ring Music Theory
Scale 1813Scale 1813: Katothimic, Ian Ring Music TheoryKatothimic
Scale 277Scale 277: Mixolyric, Ian Ring Music TheoryMixolyric
Scale 789Scale 789: Zogitonic, Ian Ring Music TheoryZogitonic
Scale 2325Scale 2325: Pynitonic, Ian Ring Music TheoryPynitonic
Scale 3349Scale 3349: Aeolocrimic, Ian Ring Music TheoryAeolocrimic

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.