Mount Barnard is a mountain in California

California

California is a state located on the West Coast of the United States. It is by far the most populous U.S. state, and the third-largest by land area...

 and has the dubious distinction of being the highest thirteener

Thirteener

In mountaineering in the United States, a thirteener is a mountain that exceeds above mean sea level, similar to the more familiar "fourteeners," which exceed...

, a peak between 13,000 and 13999 feet (4,266.9 m) in elevation, in the United States

United States

The United States of America is a federal constitutional republic comprising fifty states and a federal district...

. It is located along the Sierra Crest on the border between Tulare

Tulare County, California

Tulare County is a county located in the Central Valley of the U.S. state of California, south of Fresno. Sequoia National Park is located in the county, as are part of Kings Canyon National Park, in its northeast corner , and part of Mount Whitney, on its eastern border...

 and Inyo

Inyo County, California

-National protected areas:* Death Valley National Park * Inyo National Forest * Manzanar National Historic Site-Major highways:* U.S. Route 6* U.S. Route 395* State Route 127* State Route 136* State Route 168* State Route 178...

 counties about 2 miles (3 km) southwest of Mount Williamson

Mount Williamson

Mount Williamson, at , is the second highest mountain in both the Sierra Nevada range and the state of California. It is the sixth highest peak in the contiguous United States.- Geography :...

 which is the second highest peak in the state. Mount Barnard is the twelfth highest peak in California by most standard definitions.
If Mount Muir

Mount Muir

Mount Muir is a peak in the Sierra Nevada of California, south of Mount Whitney. This peak is named for John Muir, founder of the Sierra Club, notable California geologist, and American conservationist...

 were to be included in the list of the highest California peaks then Mount Barnard would drop to thirteenth. Mount Muir fails to meet the usual criteria for listed peaks by 2 foot (0.6096 m) of topographic prominence

Topographic prominence

In topography, prominence, also known as autonomous height, relative height, shoulder drop , or prime factor , categorizes the height of the mountain's or hill's summit by the elevation between it and the lowest contour line encircling it and no higher summit...

.