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Scale 1497: "Mela Jyotisvarupini"
Bracelet Diagram
Tonnetz Diagram
Analysis
| Cardinality | 7 (heptatonic) |
|---|---|
| Pitch Class Set | {0,3,4,6,7,8,10} |
| Forte Number | 7-26 |
| Rotational Symmetry | none |
| Reflection Axes | none |
| Palindromic | no |
| Chirality | yes enantiomorph: 885 |
| Hemitonia | 3 (trihemitonic) |
| Cohemitonia | 1 (uncohemitonic) |
| Imperfections | 4 |
| Modes | 6 |
| Prime? | no prime: 699 |
| Deep Scale | no |
| Interval Vector | 344532 |
| Interval Spectrum | p3m5n4s4d3t2 |
| Distribution Spectra | <1> = {1,2,3} <2> = {2,3,4,5} <3> = {4,5,6,7} <4> = {5,6,7,8} <5> = {7,8,9,10} <6> = {9,10,11} |
| Spectra Variation | 2.286 |
| Maximally Even | no |
| Maximal Area Set | no |
| Interior Area | 2.549 |
| Myhill Property | no |
| Balanced | no |
| Ridge Tones | none |
| Propriety | Improper |
| Heliotonic | yes |
Harmonic Chords
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 | 3 | 1.5 |
| D♯ | {3,7,10} | 3 | 3 | 1.5 | |
| G♯ | {8,0,3} | 2 | 3 | 1.75 | |
| Minor Triads | cm | {0,3,7} | 4 | 2 | 1.25 |
| d♯m | {3,6,10} | 2 | 4 | 2 | |
| Augmented Triads | C+ | {0,4,8} | 2 | 4 | 2 |
| Diminished Triads | c° | {0,3,6} | 2 | 3 | 1.75 |
| e° | {4,7,10} | 2 | 3 | 1.75 |
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 | 4 |
|---|---|
| Radius | 2 |
| Self-Centered | no |
| Central Vertices | cm |
| Peripheral Vertices | C+, d♯m |
Modes
Modes are the rotational transformation of this scale. Scale 1497 can be rotated to make 6 other scales. The 1st mode is itself.
| 2nd mode: Scale 699 |  | Aerothian | This is the prime mode | ||
| 3rd mode: Scale 2397 |  | Stagian | |||
| 4th mode: Scale 1623 |  | Lothian | |||
| 5th mode: Scale 2859 |  | Phrycrian | |||
| 6th mode: Scale 3477 |  | Kyptian | |||
| 7th mode: Scale 1893 |  | Ionylian |
Prime
The prime form of this scale is Scale 699
| Scale 699 | | Aerothian |
Complement
The heptatonic modal family [1497, 699, 2397, 1623, 2859, 3477, 1893] (Forte: 7-26) is the complement of the pentatonic modal family [309, 849, 1101, 1299, 2697] (Forte: 5-26)
Inverse
The inverse of a scale is a reflection using the root as its axis. The inverse of 1497 is 885
| Scale 885 |  | Sathian |
Enantiomorph
Only scales that are chiral will have an enantiomorph. Scale 1497 is chiral, and its enantiomorph is scale 885
| Scale 885 | | Sathian |
Transformations:
| T0 | 1497 | T0I | 885 | |||||
| T1 | 2994 | T1I | 1770 | |||||
| T2 | 1893 | T2I | 3540 | |||||
| T3 | 3786 | T3I | 2985 | |||||
| T4 | 3477 | T4I | 1875 | |||||
| T5 | 2859 | T5I | 3750 | |||||
| T6 | 1623 | T6I | 3405 | |||||
| T7 | 3246 | T7I | 2715 | |||||
| T8 | 2397 | T8I | 1335 | |||||
| T9 | 699 | T9I | 2670 | |||||
| T10 | 1398 | T10I | 1245 | |||||
| T11 | 2796 | T11I | 2490 |
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 1499 |  | Bebop Locrian | ||
| Scale 1501 |  | Stygyllic | ||
| Scale 1489 |  | Raga Jyoti | ||
| Scale 1493 |  | Lydian Minor | ||
| Scale 1481 |  | Zagimic | ||
| Scale 1513 |  | Stathian | ||
| Scale 1529 |  | Kataryllic | ||
| Scale 1433 |  | Dynimic | ||
| Scale 1465 |  | Mela Ragavardhani | ||
| Scale 1369 |  | Boptimic | ||
| Scale 1241 |  | Pygimic | ||
| Scale 1753 |  | Hungarian Major | ||
| Scale 2009 |  | Stacryllic | ||
| Scale 473 |  | Aeralimic | ||
| Scale 985 |  | Mela Sucaritra | ||
| Scale 2521 |  | Mela Dhatuvardhani | ||
| Scale 3545 |  | Thyptyllic |
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.