diff --git a/cylc/flow/scripts/cylc.py b/cylc/flow/scripts/cylc.py
index 2dd56e9eac..895af3aaf3 100644
--- a/cylc/flow/scripts/cylc.py
+++ b/cylc/flow/scripts/cylc.py
@@ -268,7 +268,7 @@ def get_version(long=False):
     'start':
         'cylc start & cylc restart have been replaced by cylc play',
     'set-verbosity':
-        'cylc set-verbosity has been replaced by cylc log-level',
+        'cylc set-verbosity has been replaced by cylc verbosity',
     'warranty':
         'cylc warranty has been replaced by cylc help license',
 }
diff --git a/cylc/flow/scripts/log_level.py b/cylc/flow/scripts/verbosity.py
similarity index 96%
rename from cylc/flow/scripts/log_level.py
rename to cylc/flow/scripts/verbosity.py
index 4d8f181d08..9cebaf63cc 100755
--- a/cylc/flow/scripts/log_level.py
+++ b/cylc/flow/scripts/verbosity.py
@@ -16,9 +16,9 @@
 # You should have received a copy of the GNU General Public License
 # along with this program.  If not, see <http://www.gnu.org/licenses/>.
 
-"""cylc log-level [OPTIONS] ARGS
+"""cylc verbosity [OPTIONS] ARGS
 
-Set the Python logging level of a running scheduler.
+Set the logging severity level of a running scheduler.
 
 Messages at or above the chosen level are logged. If you choose
 WARNING (say) only WARNING and CRITICAL messages will be logged.
diff --git a/setup.cfg b/setup.cfg
index 70fb8776e3..1cfe55da7b 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -189,11 +189,11 @@ cylc.command =
     remove = cylc.flow.scripts.remove:main
     report-timings = cylc.flow.scripts.report_timings:main [report-timings]
     scan = cylc.flow.scripts.scan:cli
-    log-level = cylc.flow.scripts.log_level:main
     show = cylc.flow.scripts.show:main
     set = cylc.flow.scripts.set:main
     stop = cylc.flow.scripts.stop:main
     subscribe = cylc.flow.scripts.subscribe:main
+    verbosity = cylc.flow.scripts.verbosity:main
     workflow-state = cylc.flow.scripts.workflow_state:main
     tui = cylc.flow.scripts.tui:main
     trigger = cylc.flow.scripts.trigger:main
diff --git a/tests/functional/cli/03-log-level.t b/tests/functional/cli/03-verbosity.t
similarity index 89%
rename from tests/functional/cli/03-log-level.t
rename to tests/functional/cli/03-verbosity.t
index 6274e33381..eb66a4a8cf 100755
--- a/tests/functional/cli/03-log-level.t
+++ b/tests/functional/cli/03-verbosity.t
@@ -15,13 +15,13 @@
 # You should have received a copy of the GNU General Public License
 # along with this program.  If not, see <http://www.gnu.org/licenses/>.
 #-------------------------------------------------------------------------------
-# Test "cylc log-level"
+# Test "cylc verbosity"
 . "$(dirname "$0")/test_header"
 set_test_number 6
 
 # Test illegal log level
 TEST_NAME="${TEST_NAME_BASE}-bad"
-run_fail "$TEST_NAME" cylc log-level duck quack
+run_fail "$TEST_NAME" cylc verbosity duck quack
 grep_ok 'InputError: Illegal logging level, duck' "${TEST_NAME}.stderr"
 
 # Test good log level
@@ -37,10 +37,10 @@ __FLOW__
 run_ok "${TEST_NAME}-validate" cylc validate "$WORKFLOW_NAME"
 workflow_run_ok "${TEST_NAME}-run" cylc play --pause "$WORKFLOW_NAME"
 
-run_ok "$TEST_NAME" cylc log-level DEBUG "$WORKFLOW_NAME"
+run_ok "$TEST_NAME" cylc verbosity DEBUG "$WORKFLOW_NAME"
 LOG_SCAN_GREP_OPTS="-E" \
   log_scan "${TEST_NAME}-grep" "${WORKFLOW_RUN_DIR}/log/scheduler/log" 5 1 \
-    '\[command] actioned.*set_log_level'
+    '\[command] actioned.*verbosity'
 
 cylc stop "$WORKFLOW_NAME"
 purge