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Short Repeats

Just intonation — Chords tuned to whole-number frequency ratios drawn from a tonality diamond, found by simulated annealing and then threaded together with Viterbi optimisation. These are successive passes at the same idea, newest first — each refines the tuning search and the orchestration over the one before it.

A structural variant of the late-June pass, with the repeats shortened.

Recordings
12
Total length
16:00
Limits used
17, 19
Rendered
June 29, 2026

  1. BWV 253 Ach bleib bei uns, Herr Jesu Christ

    17-limit · 1:26 · 30 BPM · Density 5 · ±1¢

    Download MP3 ball9-t53a_lm17_r1.12_sf0.00_df5_sp07_t1_d01_26_t030.mp3

  2. BWV 254 Ach Gott, erhör mein Seufzen und Wehklagen

    17-limit · 1:24 · 34 BPM · Density 5 · ±3¢

    Download MP3 ball9-t54a_lm17_r1.12_sf0.00_df5_sp07_t3_d01_24_t034.mp3

  3. BWV 255 Ach Gott und Herr, wie groß und schwer

    17-limit · 1:02 · 34 BPM · Density 5 · ±1¢

    Download MP3 ball9-t55a_lm17_r1.25_sf0.00_df5_sp07_t1_d01_02_t034.mp3

  4. BWV 256 Ach lieben Christen, seid getrost

    19-limit · 1:09 · 38 BPM · Density 5 · ±3¢

    Download MP3 ball9-t56a_lm19_r1.12_sf0.00_df5_sp07_t3_d01_09_t038.mp3

  5. BWV 257 Wär Gott nicht mit uns diese Zeit

    19-limit · 1:09 · 38 BPM · Density 5 · ±3¢

    Download MP3 ball9-t57a_lm19_r1.12_sf0.00_df5_sp07_t3_d01_09_t038.mp3

  6. BWV 258 Wo Gott der Herr nicht bei uns hält

    17-limit · 1:09 · 38 BPM · Density 5 · ±3¢

    Download MP3 ball9-t58a_lm17_r1.75_sf0.00_df5_sp07_t3_d01_09_t038.mp3

  7. BWV 259 Ach, was soll ich Sünder machen

    19-limit · 1:31 · 34 BPM · Density 5 · ±3¢

    Download MP3 ball9-t59a_lm19_r1.12_sf0.00_df5_sp07_t3_d01_31_t034.mp3

  8. BWV 260 Allein Gott in der Höh sei Ehr

    19-limit · 1:09 · 38 BPM · Density 5 · ±3¢

    Download MP3 ball9-t60a_lm19_r1.75_sf0.00_df5_sp07_t3_d01_09_t038.mp3

  9. BWV 261 Allein zu dir, Herr Jesu Christ

    19-limit · 1:57 · 38 BPM · Density 5 · ±3¢

    Download MP3 ball9-t61a_lm19_r1.25_sf0.00_df5_sp07_t3_d01_57_t038.mp3

  10. BWV 262 Alle Menschen müssen sterben

    17-limit · 1:22 · 38 BPM · Density 5 · ±3¢

    Download MP3 ball9-t62a_lm17_r1.12_sf0.00_df5_sp07_t3_d01_22_t038.mp3

  11. BWV 263 Alles ist an Gottes Segen

    19-limit · 1:31 · 34 BPM · Density 5 · ±3¢

    Download MP3 ball9-t63a_lm19_r1.25_sf0.00_df5_sp07_t3_d01_31_t034.mp3

  12. BWV 264 Als der gütige Gott

    17-limit · 1:11 · 34 BPM · Density 5 · ±3¢

    Download MP3 ball9-t64a_lm17_r1.12_sf0.00_df5_sp07_t3_d01_11_t034.mp3

Filenames encode the settings each render used: lm17 is a 17-limit tonality diamond, r1.12 the ratio factor, df2 the orchestration density, t1 a tolerance of one cent, and the trailing t106 the tempo.