The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2199: "Dyptimic"

Scale 2199: Dyptimic, 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
Dyptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,4,7,11}
Forte Number6-Z40
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3363
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

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 TriadsC{0,4,7}221
G{7,11,2}131.5
Minor Triadsem{4,7,11}221
Diminished Triadsc♯°{1,4,7}131.5
Parsimonious Voice Leading Between Common Triads of Scale 2199. Created by Ian Ring ©2019 C C c#° c#° C->c#° em em C->em Parsimonious Voice Leading Between Common Triads of Scale 2199. Created by Ian Ring ©2019 G em->G

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
Radius2
Self-Centeredno
Central VerticesC, em
Peripheral Verticesc♯°, G

Modes

Modes are the rotational transformation of this scale. Scale 2199 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3147
Scale 3147: Ryrimic, Ian Ring Music TheoryRyrimic
3rd mode:
Scale 3621
Scale 3621: Gylimic, Ian Ring Music TheoryGylimic
4th mode:
Scale 1929
Scale 1929: Aeolycrimic, Ian Ring Music TheoryAeolycrimic
5th mode:
Scale 753
Scale 753: Aeronimic, Ian Ring Music TheoryAeronimic
6th mode:
Scale 303
Scale 303: Golimic, Ian Ring Music TheoryGolimicThis is the prime mode

Prime

The prime form of this scale is Scale 303

Scale 303Scale 303: Golimic, Ian Ring Music TheoryGolimic

Complement

The hexatonic modal family [2199, 3147, 3621, 1929, 753, 303] (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 2199 is 3363

Scale 3363Scale 3363: Rogimic, Ian Ring Music TheoryRogimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2199 is chiral, and its enantiomorph is scale 3363

Scale 3363Scale 3363: Rogimic, Ian Ring Music TheoryRogimic

Transformations:

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

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 2197Scale 2197: Raga Hamsadhvani, Ian Ring Music TheoryRaga Hamsadhvani
Scale 2195Scale 2195: Zalitonic, Ian Ring Music TheoryZalitonic
Scale 2203Scale 2203: Dorimic, Ian Ring Music TheoryDorimic
Scale 2207Scale 2207: Mygian, Ian Ring Music TheoryMygian
Scale 2183Scale 2183, Ian Ring Music Theory
Scale 2191Scale 2191: Thydimic, Ian Ring Music TheoryThydimic
Scale 2215Scale 2215: Ranimic, Ian Ring Music TheoryRanimic
Scale 2231Scale 2231: Macrian, Ian Ring Music TheoryMacrian
Scale 2263Scale 2263: Lycrian, Ian Ring Music TheoryLycrian
Scale 2071Scale 2071, Ian Ring Music Theory
Scale 2135Scale 2135, Ian Ring Music Theory
Scale 2327Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic
Scale 2455Scale 2455: Bothian, Ian Ring Music TheoryBothian
Scale 2711Scale 2711: Stolian, Ian Ring Music TheoryStolian
Scale 3223Scale 3223: Thyphian, Ian Ring Music TheoryThyphian
Scale 151Scale 151, Ian Ring Music Theory
Scale 1175Scale 1175: Epycrimic, Ian Ring Music TheoryEpycrimic

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.