diff --git a/README.md b/README.md
index fe0507d..46cc4c6 100644
--- a/README.md
+++ b/README.md
@@ -14,6 +14,12 @@ Just drop your scripts into the relevant directory under `/kiwi-cron`, that's it
 You will likely want to automate some tasks regarding your `docker` infrastructure. 
 That's why the `kiwi-cron` images package a current `docker-cli` – you can just mount your `docker.sock` in its containers and use `docker` commands normally.
 
+## Time Zones
+
+`kiwi-cron` images include the `tzdata` package and automatically handle `/etc/localtime` on startup. By default, "Etc/UTC" is set as the container time zone.
+
+To use a different time zone, change the container environment variable `TZ` to your liking, e.g. "Europe/Berlin".
+
 ## Simple jobs
 
 On startup, `kiwi-cron` checks for possible job files in the `/kiwi-cron` directory structure.
@@ -21,27 +27,21 @@ On startup, `kiwi-cron` checks for possible job files in the `/kiwi-cron` direct
 For each subdirectory, a random valid cron schedule is generated, so that:
 
 - `/kiwi-cron/hourly` runs once every hour (random minute)
-- `/kiwi-cron/daily` runs once every day (random nighttime value)
+- `/kiwi-cron/daily` runs once every day (random nighttime value between 9 pm and 3 am)
 - `/kiwi-cron/weekly` runs once every weekend (random nighttime value on Saturday or Sunday)
-- `/kiwi-cron/monthly` runs once every month (random nighttime value on a random day)
-- `/kiwi-cron/yearly` and `/kiwi-cron/annually` runs once a year (random nighttime value on a random day in January or February)
+- `/kiwi-cron/monthly` runs once every month (random nighttime value on a random day <= 28)
+- `/kiwi-cron/yearly` and `/kiwi-cron/annually` runs once a year (random nighttime value on a random day <= 28 in January or February)
 
 Cron schedules are regenerated once on each startup, only for directories that have files.
 
-## Time Zones
-
-`kiwi-cron` images include the `tzdata` package and automatically handle `/etc/localtime` on startup. By default, "Etc/UTC" is set as the container time zone.
-
-To use a different time zone, change the container environment variable `TZ` to your liking, e.g. "Europe/Berlin".
-
-## Finer granularity: The `/kiwi-cron/every` directory
+## Granularity: The `/kiwi-cron/every` directory
 
 Directories like `/kiwi-cron/every/5_minutes` will run scripts every 5 minutes. 
 `kiwi-cron` picks up on that format and generates valid `cron` schedules on startup.
 
-You can define schedules to be run every N minutes, hours, days, or months by creating the corresponding directories. 
+This way, you can define schedules to be run every N minutes, hours, days, or months by creating the corresponding directories. 
 
-Scheduling for every N weeks (or years) doesn't work that way; jobs in those directories will instead be run every week (or every year).
+Scheduling for every N weeks (or years) doesn't work though; jobs in those directories will instead be run every week (or every year).
 
 ## Inspection
 
diff --git a/libexec/kiwi-cron/create_schedule b/libexec/kiwi-cron/create_schedule
index 2d31a64..e92b2ca 100755
--- a/libexec/kiwi-cron/create_schedule
+++ b/libexec/kiwi-cron/create_schedule
@@ -5,29 +5,26 @@ cs_units="${2}"
 cs_command="${3}"
 
 if [ "${cs_every}" = "1" ]; then
-  cs_every=""
+  cs_every="*"
 else
-  cs_every="/${cs_every}"
+  cs_every="*/${cs_every}"
 fi
 
-# generate valid random schedule values
-# generally, "nighttime" and "weekend" will be preferred.
-
 case "${cs_units}" in
   minute)
-    echo "*${cs_every} * * * * ${cs_command}" 
+    echo "${cs_every} * * * * ${cs_command}" 
     ;;
   hour)
-    echo "R *${cs_every} * * * ${cs_command}" 
+    echo "R ${cs_every} * * * ${cs_command}" 
     ;;
   day)
-    echo "R R *${cs_every} * * ${cs_command}" 
+    echo "R R ${cs_every} * * ${cs_command}" 
     ;;
   week)
     echo "R R * * R ${cs_command}" 
     ;;
   month)
-    echo "R R R *${cs_every} * ${cs_command}" 
+    echo "R R R ${cs_every} * ${cs_command}" 
     ;;
   year)
     echo "R R R R * ${cs_command}" 
diff --git a/libexec/kiwi-cron/randomize_schedule b/libexec/kiwi-cron/randomize_schedule
index c5e938a..e46eb93 100755
--- a/libexec/kiwi-cron/randomize_schedule
+++ b/libexec/kiwi-cron/randomize_schedule
@@ -8,7 +8,7 @@ read -r rs_minute rs_hour rs_day rs_month rs_weekday rs_command
   rs_minute=$(( RANDOM % 60 ))
 
 [ "${rs_hour}" = "R" ] && \
-  rs_hour=$(( (21 + RANDOM % 7) % 24 ))   # prefer nighttime
+  rs_hour=$(( (21 + RANDOM % 6) % 24 ))   # prefer nighttime
   # rs_hour=$(( RANDOM % 24 ))            # don't prefer nighttime
 
 [ "${rs_day}" = "R" ] && \