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Scale 1019: "Aeranygic"
Bracelet Diagram
Tonnetz Diagram
Common Names
- Zeitler
- Aeranygic
Analysis
| Cardinality | 9 (nonatonic) |
|---|---|
| Pitch Class Set | {0,1,3,4,5,6,7,8,9} |
| Forte Number | 9-3 |
| Rotational Symmetry | none |
| Reflection Axes | none |
| Palindromic | no |
| Chirality | yes enantiomorph: 3065 |
| Hemitonia | 7 (multihemitonic) |
| Cohemitonia | 5 (multicohemitonic) |
| Imperfections | 3 |
| Modes | 8 |
| Prime? | no prime: 895 |
| Deep Scale | no |
| Interval Vector | 767763 |
| Interval Spectrum | p6m7n7s6d7t3 |
| Distribution Spectra | <1> = {1,2,3} <2> = {2,3,4} <3> = {3,4,5,6} <4> = {4,5,6,7} <5> = {5,6,7,8} <6> = {6,7,8,9} <7> = {8,9,10} <8> = {9,10,11} |
| Spectra Variation | 2.222 |
| Maximally Even | no |
| Maximal Area Set | no |
| Interior Area | 2.683 |
| Myhill Property | no |
| Balanced | no |
| Ridge Tones | none |
| Propriety | Improper |
| Heliotonic | no |
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 Type | Triad* | Pitch Classes | Degree | Eccentricity | Closeness Centrality |
|---|---|---|---|---|---|
| Major Triads | C | {0,4,7} | 3 | 4 | 2.35 |
| C♯ | {1,5,8} | 3 | 4 | 2.35 | |
| F | {5,9,0} | 4 | 4 | 2.24 | |
| G♯ | {8,0,3} | 3 | 4 | 2.35 | |
| A | {9,1,4} | 3 | 4 | 2.24 | |
| Minor Triads | cm | {0,3,7} | 3 | 4 | 2.53 |
| c♯m | {1,4,8} | 4 | 4 | 2.24 | |
| fm | {5,8,0} | 3 | 4 | 2.24 | |
| f♯m | {6,9,1} | 3 | 4 | 2.53 | |
| am | {9,0,4} | 4 | 4 | 2.12 | |
| Augmented Triads | C+ | {0,4,8} | 5 | 4 | 2 |
| C♯+ | {1,5,9} | 4 | 4 | 2.24 | |
| Diminished Triads | c° | {0,3,6} | 2 | 4 | 2.76 |
| c♯° | {1,4,7} | 2 | 5 | 2.71 | |
| d♯° | {3,6,9} | 2 | 4 | 2.76 | |
| f♯° | {6,9,0} | 2 | 5 | 2.71 | |
| a° | {9,0,3} | 2 | 4 | 2.59 |
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.
| Diameter | 5 |
|---|---|
| Radius | 4 |
| Self-Centered | no |
| Central Vertices | c°, cm, C, C+, c♯m, C♯, C♯+, d♯°, fm, F, f♯m, G♯, a°, am, A |
| Peripheral Vertices | c♯°, f♯° |
Modes
Modes are the rotational transformation of this scale. Scale 1019 can be rotated to make 8 other scales. The 1st mode is itself.
| 2nd mode: Scale 2557 |  | Dothygic | |||
| 3rd mode: Scale 1663 |  | Lydygic | |||
| 4th mode: Scale 2879 |  | Stadygic | |||
| 5th mode: Scale 3487 |  | Byptygic | |||
| 6th mode: Scale 3791 |  | Stodygic | |||
| 7th mode: Scale 3943 |  | Zynygic | |||
| 8th mode: Scale 4019 |  | Lonygic | |||
| 9th mode: Scale 4057 |  | Phrygic |
Prime
The prime form of this scale is Scale 895
| Scale 895 |  | Aeolathygic |
Complement
The nonatonic modal family [1019, 2557, 1663, 2879, 3487, 3791, 3943, 4019, 4057] (Forte: 9-3) is the complement of the tritonic modal family [19, 769, 2057] (Forte: 3-3)
Inverse
The inverse of a scale is a reflection using the root as its axis. The inverse of 1019 is 3065
| Scale 3065 |  | Zothygic |
Enantiomorph
Only scales that are chiral will have an enantiomorph. Scale 1019 is chiral, and its enantiomorph is scale 3065
| Scale 3065 | | Zothygic |
Transformations:
| T0 | 1019 | T0I | 3065 | |||||
| T1 | 2038 | T1I | 2035 | |||||
| T2 | 4076 | T2I | 4070 | |||||
| T3 | 4057 | T3I | 4045 | |||||
| T4 | 4019 | T4I | 3995 | |||||
| T5 | 3943 | T5I | 3895 | |||||
| T6 | 3791 | T6I | 3695 | |||||
| T7 | 3487 | T7I | 3295 | |||||
| T8 | 2879 | T8I | 2495 | |||||
| T9 | 1663 | T9I | 895 | |||||
| T10 | 3326 | T10I | 1790 | |||||
| T11 | 2557 | T11I | 3580 |
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 1017 |  | Dythyllic | ||
| Scale 1021 |  | Ladygic | ||
| Scale 1023 |  | Dodyllian | ||
| Scale 1011 |  | Kycryllic | ||
| Scale 1015 |  | Ionodygic | ||
| Scale 1003 |  | Ionyryllic | ||
| Scale 987 |  | Aeraptyllic | ||
| Scale 955 |  | Ionogyllic | ||
| Scale 891 |  | Ionilyllic | ||
| Scale 763 |  | Doryllic | ||
| Scale 507 |  | Moryllic | ||
| Scale 1531 |  | Styptygic | ||
| Scale 2043 |  | Maqam Tarzanuyn | ||
| Scale 3067 |  | Goptyllian |
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.